2005, 1st ed., North-Holland mathematics studies, ISBN 9780444517937, Volume 199, 430

This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of...

Metric spaces | Topology | Topological spaces | Ordered algebraic structures

Metric spaces | Topology | Topological spaces | Ordered algebraic structures

eBook

2014, London Mathematical Society Lecture Note Series, ISBN 1107633222, Volume 412, xiv, 268

Focusing on the role that automorphisms and equivalence relations play in the algebraic theory of minimal sets provides an original treatment of some key...

Algebraic topology | Automorphisms | Topological dynamics

Algebraic topology | Automorphisms | Topological dynamics

Book

1982, Social science paperbacks, ISBN 0422772305, Volume 226, xi, 297

Book

2014, London Mathematical Society lecture note series, ISBN 1107633222, Volume 412

Web Resource

数学学报：英文版, ISSN 1439-8516, 2017, Volume 33, Issue 4, pp. 470 - 494

We propose an algorithm to derive tautological relations from Pixton relations. We carryout this algorithm explicitly to derive some results in genus 0, 1, 2,...

Gromov | Pixton | Witteninvariants | relations | topological | Faber-Zagier | recursion | Gromov–Witten invariants | Pixton relations | topological recursion relations | 14N35 | Mathematics, general | Mathematics | Faber–Zagier relations | MATHEMATICS | MATHEMATICS, APPLIED | COHOMOLOGY | Gromov-Witten invariants | Faber-Zagier relations | INTERSECTION THEORY | CURVES | MODULI SPACES | Analysis | Algorithms | Studies | Topological manifolds | Mathematical analysis | Reconstruction | Topology | Recursion | Invariants

Gromov | Pixton | Witteninvariants | relations | topological | Faber-Zagier | recursion | Gromov–Witten invariants | Pixton relations | topological recursion relations | 14N35 | Mathematics, general | Mathematics | Faber–Zagier relations | MATHEMATICS | MATHEMATICS, APPLIED | COHOMOLOGY | Gromov-Witten invariants | Faber-Zagier relations | INTERSECTION THEORY | CURVES | MODULI SPACES | Analysis | Algorithms | Studies | Topological manifolds | Mathematical analysis | Reconstruction | Topology | Recursion | Invariants

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 05/2017, Volume 2017, Issue 5, pp. 1 - 56

For a wide variety of quantum potentials, including the textbook 'instanton' examples of the periodic cosine and symmetric double-well potentials, the...

Topological Strings | Nonperturbative Effects | Solitons Monopoles and Instantons | YANG-MILLS | INSTANTONS | SCHRODINGER-EQUATION | ELLIPTIC FUNCTIONS | Q-OPERATORS | MATRIX MODELS | EIGENVALUES | VACUUM-STRUCTURE | GAUGE | PHYSICS, PARTICLES & FIELDS | Geometry | Supersymmetry | Modular systems | Chebyshev approximation | Field theory | Elliptic functions | Quantum field theory | Modular structures | Quantum theory | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Topological Strings | Nonperturbative Effects | Solitons Monopoles and Instantons | YANG-MILLS | INSTANTONS | SCHRODINGER-EQUATION | ELLIPTIC FUNCTIONS | Q-OPERATORS | MATRIX MODELS | EIGENVALUES | VACUUM-STRUCTURE | GAUGE | PHYSICS, PARTICLES & FIELDS | Geometry | Supersymmetry | Modular systems | Chebyshev approximation | Field theory | Elliptic functions | Quantum field theory | Modular structures | Quantum theory | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 07/2016, Volume 72, Issue 2, pp. 328 - 348

In this paper, we present methods that directly model the random structure of porous media using Voronoi tessellations. Three basic structures were generated...

Porous media | Fibrous media | Heterogeneity | Parallel computing | Voronoi tessellation | Lattice Boltzmann method | porosity–permeability relation | porosity-permeability relation | DYNAMIC PROPERTIES | MATHEMATICS, APPLIED | STOCHASTIC RECONSTRUCTION | TOPOLOGICAL DISORDER | KOZENY-CARMAN | NETWORK MODEL | CURVED BOUNDARY | LATTICE-BOLTZMANN METHOD | Parallel computing porosity-permeability relation | VISCOUS-FLOW | EXTRACELLULAR-MATRIX | RECONSTRUCTING RANDOM-MEDIA | Models | Permeability | Porosity | Analysis | Fracture mechanics | Mathematical analysis | Fluid flow | Media | Mathematical models | Fibers

Porous media | Fibrous media | Heterogeneity | Parallel computing | Voronoi tessellation | Lattice Boltzmann method | porosity–permeability relation | porosity-permeability relation | DYNAMIC PROPERTIES | MATHEMATICS, APPLIED | STOCHASTIC RECONSTRUCTION | TOPOLOGICAL DISORDER | KOZENY-CARMAN | NETWORK MODEL | CURVED BOUNDARY | LATTICE-BOLTZMANN METHOD | Parallel computing porosity-permeability relation | VISCOUS-FLOW | EXTRACELLULAR-MATRIX | RECONSTRUCTING RANDOM-MEDIA | Models | Permeability | Porosity | Analysis | Fracture mechanics | Mathematical analysis | Fluid flow | Media | Mathematical models | Fibers

Journal Article

Psychological Science, ISSN 0956-7976, 10/2017, Volume 28, Issue 10, pp. 1408 - 1418

How do individuals compare images—for example, two graphs or diagrams—to identify differences between them? We argue that categorical relations between objects...

topological relations | open data | categorical perception | sequential same/different task | spatial relations | visual comparison | GREATER SENSITIVITY | REPRESENTATIONS | RECOGNITION | ANALOGY | PERCEPTION | PSYCHOLOGY, MULTIDISCIPLINARY | SHAPE | ORIENTATION | COLOR | Space Perception - physiology | Young Adult | Visual Perception - physiology | Humans | Adolescent | Adult | Female | Male | Thinking - physiology | Cognitive psychology | Boundaries | Topology | different task | sequential same

topological relations | open data | categorical perception | sequential same/different task | spatial relations | visual comparison | GREATER SENSITIVITY | REPRESENTATIONS | RECOGNITION | ANALOGY | PERCEPTION | PSYCHOLOGY, MULTIDISCIPLINARY | SHAPE | ORIENTATION | COLOR | Space Perception - physiology | Young Adult | Visual Perception - physiology | Humans | Adolescent | Adult | Female | Male | Thinking - physiology | Cognitive psychology | Boundaries | Topology | different task | sequential same

Journal Article

2000, Series in real analysis, ISBN 9810242077, Volume 7, vi, 136

Book

Results in Mathematics, ISSN 1422-6383, 12/2018, Volume 73, Issue 4, pp. 1 - 17

The notion of hypercyclic linear relations (multivalued linear operators) in a separable Hilbert space is introduced and studied. We give, in terms of open...

47A06 | somewhere dense orbits | 47A16 | Hypercyclic linear relations | Mathematics, general | Mathematics | topological transitivity | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | SPACES

47A06 | somewhere dense orbits | 47A16 | Hypercyclic linear relations | Mathematics, general | Mathematics | topological transitivity | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | SPACES

Journal Article

Nano Letters, ISSN 1530-6984, 07/2013, Volume 13, Issue 7, pp. 3086 - 3092

Proximity to a superconductor is predicted to induce exotic quantum phases in topological insulators. Here, scanning superconducting quantum interference...

scanning SQUID microscopy | Topological insulator | current-phase relation | Josephson junction | Majorana fermions | superconducting proximity effect | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | TOPOLOGICAL INSULATORS | MATERIALS SCIENCE, MULTIDISCIPLINARY | SUPERCONDUCTING WEAK LINKS | GRAPHENE | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | SIGNATURE | CHEMISTRY, MULTIDISCIPLINARY | WAVE | TRANSPORT | NANOWIRE | SURFACE | QUANTUM INTERFERENCE DEVICE | Superconductors | Aluminum | Superconductivity | Proximity effect (electricity) | Insulators | Topology | SQUIDs | Superconducting quantum interference devices

scanning SQUID microscopy | Topological insulator | current-phase relation | Josephson junction | Majorana fermions | superconducting proximity effect | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | TOPOLOGICAL INSULATORS | MATERIALS SCIENCE, MULTIDISCIPLINARY | SUPERCONDUCTING WEAK LINKS | GRAPHENE | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | SIGNATURE | CHEMISTRY, MULTIDISCIPLINARY | WAVE | TRANSPORT | NANOWIRE | SURFACE | QUANTUM INTERFERENCE DEVICE | Superconductors | Aluminum | Superconductivity | Proximity effect (electricity) | Insulators | Topology | SQUIDs | Superconducting quantum interference devices

Journal Article

Fuzzy Sets and Systems, ISSN 0165-0114, 09/2015, Volume 275, pp. 130 - 143

In this paper, we show that fuzzy Alexandrov topologies can be induced by fuzzy relations. The concept of -similarity of fuzzy relations is introduced....

Fuzzy approximation space | Algebraic structure | T-fuzzy rough approximation operator | Fuzzy topology | Fuzzy relation | T-similarity | GENERALIZED ROUGH SETS | TOPOLOGICAL-SPACES | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS

Fuzzy approximation space | Algebraic structure | T-fuzzy rough approximation operator | Fuzzy topology | Fuzzy relation | T-similarity | GENERALIZED ROUGH SETS | TOPOLOGICAL-SPACES | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS

Journal Article

Linguistics Vanguard, ISSN 2199-174X, 08/2017, Volume 3, Issue 1

This article explores a more nuanced understanding of topological relations in the Pohnpeian language (Austronesian). The BowPed Toolkit ( . Topological...

Pohnpeian language | topological relations | evolutionary classification tree modeling | Micronesia | Evolutionary classification tree modeling | Topological relations

Pohnpeian language | topological relations | evolutionary classification tree modeling | Micronesia | Evolutionary classification tree modeling | Topological relations

Journal Article

Acta Crystallographica Section A: Foundations of Crystallography, ISSN 0108-7673, 2009, Volume 65, Issue 3, pp. 202 - 212

The TOPOS program package was used to generate all subnets of 3- to 12-coordinated binodal nets taken from the Reticular Chemistry Structure Resource database....

Edge-transitive nets | Three-periodic nets | Topological relations | Binodal nets | RETICULAR CHEMISTRY | INORGANIC 3D NETWORKS | CAMBRIDGE STRUCTURAL DATABASE | MINIMAL NETS | CRYSTAL NETS | CRYSTALLOGRAPHIC NETS | CRYSTALLOGRAPHY | PERIODIC NETS | CHEMISTRY, MULTIDISCIPLINARY | SPHERE PACKINGS | HYDROGEN-BONDED FRAMEWORKS | ORGANIC-CRYSTALS | Structure | Analysis | Crystals | Geometry | Software | Crystallography | Data bases | Crystal structure

Edge-transitive nets | Three-periodic nets | Topological relations | Binodal nets | RETICULAR CHEMISTRY | INORGANIC 3D NETWORKS | CAMBRIDGE STRUCTURAL DATABASE | MINIMAL NETS | CRYSTAL NETS | CRYSTALLOGRAPHIC NETS | CRYSTALLOGRAPHY | PERIODIC NETS | CHEMISTRY, MULTIDISCIPLINARY | SPHERE PACKINGS | HYDROGEN-BONDED FRAMEWORKS | ORGANIC-CRYSTALS | Structure | Analysis | Crystals | Geometry | Software | Crystallography | Data bases | Crystal structure

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 11/2015, Volume 270, pp. 142 - 147

Let , and be, respectively, the Wiener, Szeged, PI, and Wiener polarity indices of a molecular graph . Let and be the first and second Zagreb indices of . We...

Zagreb index | Distance–based indices | Degree–based indices | Wiener index | Topological index | Szeged index | Degree-based indices | Distance-based indices | MATHEMATICS, APPLIED | NUMBER | ENERGY | WIENER POLARITY INDEX | GRAPH-THEORY | TREES | DIFFERENCE | MOLECULAR-ORBITALS | 1ST ZAGREB INDEX | VERTICES

Zagreb index | Distance–based indices | Degree–based indices | Wiener index | Topological index | Szeged index | Degree-based indices | Distance-based indices | MATHEMATICS, APPLIED | NUMBER | ENERGY | WIENER POLARITY INDEX | GRAPH-THEORY | TREES | DIFFERENCE | MOLECULAR-ORBITALS | 1ST ZAGREB INDEX | VERTICES

Journal Article

Topology and its Applications, ISSN 0166-8641, 06/2019, Volume 259, pp. 50 - 66

W. W. Comfort, in collaboration with A. Kato and S. Shelah, explored the problem of determining which spaces satisfy that for every 2-coloring of there will be...

Topological Ramsey theory | Stone-Čech remainder

Topological Ramsey theory | Stone-Čech remainder

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 10/2016, Issue 10

-matrix is explicitly constructed for simplest representations of the Ding-Iohara-Miki algebra. Calculation is straightforward and significantly simpler than...

AGT RELATIONS | ELLIPTIC HALL ALGEBRA | Supersymmetric gauge theory | Topological Field Theories | SUPERSYMMETRIC GAUGE | Topological Strings | POLYNOMIALS | CONFORMAL FIELD-THEORY | CONSTRUCTION | COEFFICIENTS | K-THEORY | ELECTRIC-MAGNETIC DUALITY | Conformal and W Symmetry | OPERATORS | PHYSICS, PARTICLES & FIELDS

AGT RELATIONS | ELLIPTIC HALL ALGEBRA | Supersymmetric gauge theory | Topological Field Theories | SUPERSYMMETRIC GAUGE | Topological Strings | POLYNOMIALS | CONFORMAL FIELD-THEORY | CONSTRUCTION | COEFFICIENTS | K-THEORY | ELECTRIC-MAGNETIC DUALITY | Conformal and W Symmetry | OPERATORS | PHYSICS, PARTICLES & FIELDS

Journal Article

Soft Computing, ISSN 1432-7643, 1/2018, Volume 22, Issue 2, pp. 373 - 385

In this paper, we have introduced and studied fuzzy topologies generated by fuzzy relations. Several related results have been proved. In particular, we have...

Engineering | Fuzzy bitopological spaces | Computational Intelligence | Fuzzy topological spaces | Preorderable fuzzy topology | Control, Robotics, Mechatronics | Orderable fuzzy topology | Artificial Intelligence (incl. Robotics) | Fuzzy relations | Mathematical Logic and Foundations | SPACES | PREORDERS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ROUGH SETS | SIMILARITY RELATIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FUZZIFYING TOPOLOGIES | ORDERS | RELATORS

Engineering | Fuzzy bitopological spaces | Computational Intelligence | Fuzzy topological spaces | Preorderable fuzzy topology | Control, Robotics, Mechatronics | Orderable fuzzy topology | Artificial Intelligence (incl. Robotics) | Fuzzy relations | Mathematical Logic and Foundations | SPACES | PREORDERS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ROUGH SETS | SIMILARITY RELATIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FUZZIFYING TOPOLOGIES | ORDERS | RELATORS

Journal Article

New Phytologist, ISSN 0028-646X, 4/2013, Volume 198, Issue 2, pp. 347 - 385

Hosts and their symbionts are involved in intimate physiological and ecological interactions. The impact of these interactions on the evolution of each partner...

Symbionts | Biological taxonomies | Brood parasitism | Plant parasitic nematodes | Biological evolution | Parasites | Phylogeny | Lice | Tansley reviews | Speciation | Parasite hosts | host‐switch | cophylogenetic analysis | treemap | parafit | co‐cladogenesis | host‐jump | host–pathogen interaction | treefitter | Cophylogenetic analysis | Host-switch | Co-cladogenesis | Host-pathogen interaction | Host-jump | co-cladogenesis | host-switch | REDUCTIVE GENOME EVOLUTION | BACTERIAL SYMBIONTS | host-jump | CO-SPECIATION | TOPOLOGICAL SIMILARITY | PLANT-FEEDING INSECTS | AVIAN MALARIA PARASITES | PLANT SCIENCES | hostpathogen interaction | OBLIGATE POLLINATION MUTUALISM | BEBBIANAE LEAF BEETLES | FIG WASPS | CHEWING LICE | Host-Parasite Interactions - genetics | Species Specificity | Genetic Speciation | Symbiosis - physiology | Life Sciences

Symbionts | Biological taxonomies | Brood parasitism | Plant parasitic nematodes | Biological evolution | Parasites | Phylogeny | Lice | Tansley reviews | Speciation | Parasite hosts | host‐switch | cophylogenetic analysis | treemap | parafit | co‐cladogenesis | host‐jump | host–pathogen interaction | treefitter | Cophylogenetic analysis | Host-switch | Co-cladogenesis | Host-pathogen interaction | Host-jump | co-cladogenesis | host-switch | REDUCTIVE GENOME EVOLUTION | BACTERIAL SYMBIONTS | host-jump | CO-SPECIATION | TOPOLOGICAL SIMILARITY | PLANT-FEEDING INSECTS | AVIAN MALARIA PARASITES | PLANT SCIENCES | hostpathogen interaction | OBLIGATE POLLINATION MUTUALISM | BEBBIANAE LEAF BEETLES | FIG WASPS | CHEWING LICE | Host-Parasite Interactions - genetics | Species Specificity | Genetic Speciation | Symbiosis - physiology | Life Sciences

Journal Article