Fuzzy Sets and Systems, ISSN 0165-0114, 07/2016, Volume 294, pp. 93 - 104

In M. Abel and A. Šostak (2011) [1], the concept of an L-fuzzy bornology was introduced. Actually, an L-fuzzy bornology on a set X is a certain ideal in the...

Bounded mapping | L-valued bornology | Bornology | Fuzzy (pseudo-)metric | Fuzzy topology | Relative compactness set | L-fuzzy bornology | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | Fuzzy (pseudo-) metric | Axioms | Fuzzy set theory | Fuzzy

Bounded mapping | L-valued bornology | Bornology | Fuzzy (pseudo-)metric | Fuzzy topology | Relative compactness set | L-fuzzy bornology | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | Fuzzy (pseudo-) metric | Axioms | Fuzzy set theory | Fuzzy

Journal Article

Journal of Convex Analysis, ISSN 0944-6532, 2015, Volume 22, Issue 4, pp. 1041 - 1060

Hu's metrization theorem for bornological universes is shown to hold in ZF and it is adapted to a quasi-metrization theorem for bornologies in bitopological...

Bitopological space | Quasi-metric | Bornology | bitopological space | MATHEMATICS | quasi-metric

Bitopological space | Quasi-metric | Bornology | bitopological space | MATHEMATICS | quasi-metric

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2012, Volume 387, Issue 2, pp. 770 - 775

We continue the study of topologies of strong uniform convergence on bornologies initiated by Beer and Levi (2009) [4]. In Beer and Levi (2009) [4] the...

Bornology | Complete metrizability | Shield | Topology of strong uniform convergence on bornology | MATHEMATICS | MATHEMATICS, APPLIED | Beer

Bornology | Complete metrizability | Shield | Topology of strong uniform convergence on bornology | MATHEMATICS | MATHEMATICS, APPLIED | Beer

Journal Article

Matematychni Studii, ISSN 1027-4634, 2018, Volume 49, Issue 1, pp. 13 - 18

Journal Article

Applied general topology, ISSN 1989-4147, 2019, Volume 20, Issue 1, pp. 297 - 305

A ballean (or coarse space) is a set endowed with a coarse structure. A ballean X is called normal if any two asymptotically disjoint subsets of X are...

coarse structure | bornology | extremely normal ballean | maximal ballean | Ballean | ultranormal ballean

coarse structure | bornology | extremely normal ballean | maximal ballean | Ballean | ultranormal ballean

Journal Article

Rendiconti del Circolo Matematico di Palermo, ISSN 0009-725X, 08/2019, Volume 68, Issue 2, pp. 339 - 353

Journal Article

Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, ISSN 1024-7696, 2013, Volume 72-73, Issue 2-3, pp. 5 - 16

Journal Article

Iranian Journal of Fuzzy Systems, ISSN 1735-0654, 2011, Volume 8, Issue 1, pp. 19 - 28

The concept of an L-bornology is introduced and the theory of L-bornological spaces is being developed. In particular the lattice of all L-bornologies on a...

Bornology | L-set | Fuzzy set | Fuzzy topology | L-bornology | MATHEMATICS | MATHEMATICS, APPLIED

Bornology | L-set | Fuzzy set | Fuzzy topology | L-bornology | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 350, Issue 2, pp. 568 - 589

Let B be an ideal of subsets of a metric space 〈 X , d 〉 . This paper considers a strengthening of the notion of uniform continuity of a function restricted to...

Uniform convergence | Strong uniform convergence | Strong uniform continuity | Oscillation | Bornology | UC set | Uniform continuity | TOPOLOGY | MATHEMATICS, APPLIED | DISTANCE | BOUNDEDNESS | MATHEMATICS | CONVERGENCE

Uniform convergence | Strong uniform convergence | Strong uniform continuity | Oscillation | Bornology | UC set | Uniform continuity | TOPOLOGY | MATHEMATICS, APPLIED | DISTANCE | BOUNDEDNESS | MATHEMATICS | CONVERGENCE

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 371, Issue 1, pp. 384 - 392

In 1883 Arzelà (1983/1984) [2] gave a necessary and sufficient condition via quasi-uniform convergence for the pointwise limit of a sequence of real-valued...

Strong continuity | Bornology | Arzelà's quasi-uniform convergence | Strong uniform convergence | Pointwise and uniform convergence | TOPOLOGY | MATHEMATICS | MATHEMATICS, APPLIED | Arzela's quasi-uniform convergence | CONTINUITY | SPACES | Beer

Strong continuity | Bornology | Arzelà's quasi-uniform convergence | Strong uniform convergence | Pointwise and uniform convergence | TOPOLOGY | MATHEMATICS | MATHEMATICS, APPLIED | Arzela's quasi-uniform convergence | CONTINUITY | SPACES | Beer

Journal Article

Applied General Topology, ISSN 1576-9402, 2017, Volume 18, Issue 1, pp. 107 - 115

We show that there exists a Hausdorff topology on the set R of real numbers such that a subset A of R has compact closure if and only if A is countable. More...

Compact closure | Topology | Cardinality | Hausdorff | Hausdorff cardinality | bornology | compact closure | topology

Compact closure | Topology | Cardinality | Hausdorff | Hausdorff cardinality | bornology | compact closure | topology

Journal Article

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2019, Volume 48, Issue 6, pp. 1653 - 1666

A concept of quasi-metrizability with respect to a bornology of a generalized topological space in the sense of Delfs and Knebusch is introduced....

MATHEMATICS | quasi-metric | STATISTICS & PROBABILITY | topological category | Delfs-Knebusch generalized topological space | bornology

MATHEMATICS | quasi-metric | STATISTICS & PROBABILITY | topological category | Delfs-Knebusch generalized topological space | bornology

Journal Article

Set-valued and variational analysis, ISSN 1877-0541, 2017, Volume 26, Issue 1, pp. 49 - 65

In the context of functions between metric spaces, continuity is preserved by uniform convergence on the bornology of relatively compact subsets while Cauchy...

Secondary 54E50, 54E35 | Totally bounded set | Relatively compact set | Probability Theory and Stochastic Processes | Mathematics | Continuous function | Bornology | Primary 54C35, 26A16, 46A17 | Analysis | Ring of functions | Bourbaki bounded set | Lipschitz function | Infinitely nonuniformly isolated set | Cauchy continuous function | Uniformly continuous function | UC-space | MATHEMATICS, APPLIED

Secondary 54E50, 54E35 | Totally bounded set | Relatively compact set | Probability Theory and Stochastic Processes | Mathematics | Continuous function | Bornology | Primary 54C35, 26A16, 46A17 | Analysis | Ring of functions | Bourbaki bounded set | Lipschitz function | Infinitely nonuniformly isolated set | Cauchy continuous function | Uniformly continuous function | UC-space | MATHEMATICS, APPLIED

Journal Article

Topology and its Applications, ISSN 0166-8641, 01/2014, Volume 161, Issue 1, pp. 330 - 342

The bornological convergence structures that have been studied recently as generalizations of Attouch–Wets convergence define pretopologies on hyperspaces. In...

Bornological convergence | Pretopological space | Bornology | Hausdorff distance | Hyperspace topology | MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCES

Bornological convergence | Pretopological space | Bornology | Hausdorff distance | Hyperspace topology | MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCES

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 12/2014, Volume 332, Issue 3, pp. 1345 - 1380

The space $${\mathcal{D}_\Gamma^\prime}$$ D Γ ′ of distributions having their wavefront sets in a closed cone $${\Gamma}$$ Γ has become important in physics...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | MICROLOCAL ANALYSIS | INDUCTIVE LIMITS | DIRAC FIELDS | CURVED SPACETIME | QUANTUM-FIELD THEORY | HADAMARD CONDITION | TIME | LINEAR-SPACES | PHYSICS, MATHEMATICAL | RENORMALIZATION

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | MICROLOCAL ANALYSIS | INDUCTIVE LIMITS | DIRAC FIELDS | CURVED SPACETIME | QUANTUM-FIELD THEORY | HADAMARD CONDITION | TIME | LINEAR-SPACES | PHYSICS, MATHEMATICAL | RENORMALIZATION

Journal Article

Applied General Topology, ISSN 1989-4147, 2009, Volume 10, Issue 2, pp. 277 - 287

Bornological universes were introduced some time ago by Hu and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces...

Bornology; uniform space; totally bounded; realcompactness | Uniform space | Bornology | Totally bounded | Realcompactness

Bornology; uniform space; totally bounded; realcompactness | Uniform space | Bornology | Totally bounded | Realcompactness

Journal Article

Applied general topology, ISSN 1576-9402, 07/2013, Volume 12, Issue 2, pp. 81 - 94

Many extensions of a space X such that the remainder Y is closed can be constructed as B-extensions, that is, by defining a topology on the disjoint union X [...

B-extension | Bornology | Topological extension | Boundedness

B-extension | Bornology | Topological extension | Boundedness

Journal Article

Topology and its Applications, ISSN 0166-8641, 09/2016, Volume 210, pp. 317 - 354

We introduce the notions of extended topological vector spaces and extended seminormed spaces, following the main ideas of extended normed spaces, which were...

Seminorms | Topological vector spaces | Extended norms | Extended seminorms | Bornologies | Projective limits | Topological groups | MATHEMATICS | MATHEMATICS, APPLIED

Seminorms | Topological vector spaces | Extended norms | Extended seminorms | Bornologies | Projective limits | Topological groups | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Topology and its Applications, ISSN 0166-8641, 04/2015, Volume 184, pp. 16 - 28

In this paper, we continue the study of function spaces equipped with topologies of (strong) uniform convergence on bornologies initiated by Beer and Levi [3]....

Baire | Monotonically p-space | [formula omitted]-Point | Completely metrizable | Strong uniform convergence | Bornology | Strongly Baire | Point | MATHEMATICS | MATHEMATICS, APPLIED | CONTINUITY | qD-Point | STRONG UNIFORM-CONVERGENCE

Baire | Monotonically p-space | [formula omitted]-Point | Completely metrizable | Strong uniform convergence | Bornology | Strongly Baire | Point | MATHEMATICS | MATHEMATICS, APPLIED | CONTINUITY | qD-Point | STRONG UNIFORM-CONVERGENCE

Journal Article

Soft Computing, ISSN 1432-7643, 7/2016, Volume 20, Issue 7, pp. 2503 - 2512

This paper shows that given a certain frame L, the construct of strict L-bornological spaces, introduced by Abel and Šostak, is a topological universe.

Engineering | Cartesian closed category | Computational Intelligence | Quasitopos | Control, Robotics, Mechatronics | Natural bornology | Topological universe | Artificial Intelligence (incl. Robotics) | Extremal partial morphism | Topological category | Mathematical Logic and Foundations | L -bornological space | L-bornological space | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Mechanical engineering | Resveratrol

Engineering | Cartesian closed category | Computational Intelligence | Quasitopos | Control, Robotics, Mechatronics | Natural bornology | Topological universe | Artificial Intelligence (incl. Robotics) | Extremal partial morphism | Topological category | Mathematical Logic and Foundations | L -bornological space | L-bornological space | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Mechanical engineering | Resveratrol

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.