Bulletin of the Brazilian Mathematical Society, New Series, ISSN 1678-7544, 6/2019, Volume 50, Issue 2, pp. 323 - 345

... measurable function · Köthe space · Köthe–Bochner space Mathematics Subject Classi cation Primary 46E30, 46E40; Secondary 28A20, 54A20, 54C35, 54E25 1 Introduction...

Primary 46E30, 46E40 | Köthe space | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Vector valued measurable function | Secondary 28A20, 54A20, 54C35, 54E25 | Köthe–Bochner space

Primary 46E30, 46E40 | Köthe space | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Vector valued measurable function | Secondary 28A20, 54A20, 54C35, 54E25 | Köthe–Bochner space

Journal Article

Colloquium Mathematicum, ISSN 0010-1354, 2017, Volume 147, Issue 2, pp. 315 - 324

We study otopy classes of equivariant local maps and prove a Hopf type theorem for such maps in the case of a real finite-dimensional orthogonal representation...

Hopf theorem | Otopy | Topological degree | Equivariant map | topological degree | MATHEMATICS | otopy | equivariant map | GRADIENT | Mathematics - Algebraic Topology

Hopf theorem | Otopy | Topological degree | Equivariant map | topological degree | MATHEMATICS | otopy | equivariant map | GRADIENT | Mathematics - Algebraic Topology

Journal Article

Journal of Homotopy and Related Structures, ISSN 2193-8407, 9/2019, Volume 14, Issue 3, pp. 787 - 811

... the homotopy types of the gauge groups. Keywords Gauge groups · Homotopy type · Non-spin 4-manifolds Mathematics Subject Classiﬁcation Primary 55P15; Secondary 54C35...

81T13 | Algebra | Primary 55P15 | Functional Analysis | Secondary 54C35 | Algebraic Topology | Homotopy type | Mathematics | Gauge groups | Number Theory | Non-spin 4-manifolds | MATHEMATICS | MAP

81T13 | Algebra | Primary 55P15 | Functional Analysis | Secondary 54C35 | Algebraic Topology | Homotopy type | Mathematics | Gauge groups | Number Theory | Non-spin 4-manifolds | MATHEMATICS | MAP

Journal Article

Journal of Homotopy and Related Structures, ISSN 2193-8407, 6/2016, Volume 11, Issue 2, pp. 309 - 332

By using homotopy transfer techniques in the context of rational homotopy theory, we show that if $$C$$ C is a coalgebra model of a space $$X$$ X , then the...

Algebra | L_\infty $$ L ∞ -algebra | Functional Analysis | Mapping space | Secondary 54C35 | Algebraic Topology | Rational homotopy | Mathematics | Number Theory | Primary 55P62 | algebra | MATHEMATICS | L-infinity-algebra | LIE-ALGEBRA | Mathematics - Algebraic Topology

Algebra | L_\infty $$ L ∞ -algebra | Functional Analysis | Mapping space | Secondary 54C35 | Algebraic Topology | Rational homotopy | Mathematics | Number Theory | Primary 55P62 | algebra | MATHEMATICS | L-infinity-algebra | LIE-ALGEBRA | Mathematics - Algebraic Topology

Journal Article

Acta Mathematica Hungarica, ISSN 0236-5294, 2/2018, Volume 154, Issue 1, pp. 56 - 68

Given a sequence $${\mathcal{U} =\{U_n: n \in \omega\}}$$ U = { U n : n ∈ ω } of non-empty open subsets of a space X, a set $${\{x_n : n \in \omega\}}$$ { x n...

secondary 54C05 | Lindelöf $${\Sigma}$$ Σ -space | selection | 54G20 | Mathematics, general | Mathematics | closed discrete set | essentially uncountable space | function space | primary 54C35 | discretely selective space | MATHEMATICS | Lindelof Sigma-space

secondary 54C05 | Lindelöf $${\Sigma}$$ Σ -space | selection | 54G20 | Mathematics, general | Mathematics | closed discrete set | essentially uncountable space | function space | primary 54C35 | discretely selective space | MATHEMATICS | Lindelof Sigma-space

Journal Article

Bollettino dell'Unione Matematica Italiana, ISSN 1972-6724, 12/2017, Volume 10, Issue 4, pp. 595 - 605

... · Separable Mathematics Subject Classiﬁcation Primary 54C35; Secondary 54D10 · 54D15 · 54D65 · 54D99 · 54A10 · 54E99 1 Introduction The set C(X) of all real-valued...

Open-point topology | 54A10 | Separation | 54E99 | 54D99 | 54D65 | Mathematics | 54D15 | Primary 54C35 | Compact-open topology | Separable | Secondary 54D10 | Mathematics, general | Bi-compact-open topology | Submetrizable

Open-point topology | 54A10 | Separation | 54E99 | 54D99 | 54D65 | Mathematics | 54D15 | Primary 54C35 | Compact-open topology | Separable | Secondary 54D10 | Mathematics, general | Bi-compact-open topology | Submetrizable

Journal Article

7.
Full Text
The Menger and projective Menger properties of function spaces with the set-open topology

Mathematica Slovaca, ISSN 0139-9918, 06/2019, Volume 69, Issue 3, pp. 699 - 706

For a Tychonoff space and a family λ of subsets of , we denote by ) the space of all real-valued continuous functions on with the set-open topology. A Menger...

54D20 | compact | 54C35 | pseudocompact | set-open topology | Menger | basically disconnected space | Secondary 54C40 | projective Menger | Primary 54C25 | bounded | function space | sigma-bounded | MATHEMATICS | HUREWICZ | sigma-compact | PRODUCTIVELY LINDELOF | sigma-pseudocompact

54D20 | compact | 54C35 | pseudocompact | set-open topology | Menger | basically disconnected space | Secondary 54C40 | projective Menger | Primary 54C25 | bounded | function space | sigma-bounded | MATHEMATICS | HUREWICZ | sigma-compact | PRODUCTIVELY LINDELOF | sigma-pseudocompact

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

Mathematica Slovaca, ISSN 0139-9918, 11/2017, Volume 67, Issue 6, pp. 1333 - 1344

The comparison of some subfamilies of the family of functions on the real line having the Baire property in porosity terms is given. We prove that the family...

26A30 | 54C30 | quasi-continuity | Darboux property | 54C35 | Baire property | strong Świątkowski property | porosity | Primary 26A15 | Secondary 54C08 | Porosity | Strong Świątkowski property | Quasi-continuity | MATHEMATICS | PRODUCTS | strong Swiatkowski property | Functions, Continuous | Metric spaces | Research | Mathematical research

26A30 | 54C30 | quasi-continuity | Darboux property | 54C35 | Baire property | strong Świątkowski property | porosity | Primary 26A15 | Secondary 54C08 | Porosity | Strong Świątkowski property | Quasi-continuity | MATHEMATICS | PRODUCTS | strong Swiatkowski property | Functions, Continuous | Metric spaces | Research | Mathematical research

Journal Article

Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 12/2017, Volume 19, Issue 4, pp. 2733 - 2753

... copies of Z. Mathematics Subject Classiﬁcation. Primary 55P91; Secondary 54C35. Keywords. Topological degree, Hopf property, equivariant gradient map, otopy...

otopy | Mathematical Methods in Physics | Hopf property | Secondary 54C35 | Analysis | Mathematics, general | Mathematics | equivariant gradient map | Topological degree | Primary 55P91 | MATHEMATICS | MATHEMATICS, APPLIED | VECTOR-FIELDS | Mathematics - Algebraic Topology

otopy | Mathematical Methods in Physics | Hopf property | Secondary 54C35 | Analysis | Mathematics, general | Mathematics | equivariant gradient map | Topological degree | Primary 55P91 | MATHEMATICS | MATHEMATICS, APPLIED | VECTOR-FIELDS | Mathematics - Algebraic Topology

Journal Article

Expositiones Mathematicae, ISSN 0723-0869, 03/2017, Volume 35, Issue 1, pp. 13 - 53

In this article we study two “strong” topologies for spaces of smooth functions from a finite-dimensional manifold to a (possibly infinite-dimensional)...

Bisections of a Lie groupoid | Whitney topologies | Manifolds of smooth maps | Topologies on spaces of smooth functions | Continuity of composition | MATHEMATICS | BISECTIONS

Bisections of a Lie groupoid | Whitney topologies | Manifolds of smooth maps | Topologies on spaces of smooth functions | Continuity of composition | MATHEMATICS | BISECTIONS

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 7/2013, Volume 101, Issue 1, pp. 65 - 77

For a Banach space E and its bidual space E ′′, the following function $${k(H) : = {\rm sup}_{y\in\overline{H}^{\sigma(E^{\prime \prime},E^{\prime})}} {\rm...

Fréchet space | Secondary 54C35 | Compactness | Mathematics, general | Krein’s theorem | Mathematics | Primary 46A50 | Space of continuous functions | Krein's theorem

Fréchet space | Secondary 54C35 | Compactness | Mathematics, general | Krein’s theorem | Mathematics | Primary 46A50 | Space of continuous functions | Krein's theorem

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 02/2017, Volume 67, Issue 1, pp. 227 - 234

We show that for every Lindelöf -space a weaker version of the Sokolov property holds. Besides, if is a scattered Eberlein compact space and is obtained from...

extent | Secondary 54C35 | retraction | Eberlein compact space | Lindelöf | scattered space | Sokolov space | Primary 54G10 | modification | function space | space | Lindelöf P-space | ω-modification | MATHEMATICS | omega-modification | PROPERTY | Lindelof P-space | Mathematical research | Research | Topological spaces

extent | Secondary 54C35 | retraction | Eberlein compact space | Lindelöf | scattered space | Sokolov space | Primary 54G10 | modification | function space | space | Lindelöf P-space | ω-modification | MATHEMATICS | omega-modification | PROPERTY | Lindelof P-space | Mathematical research | Research | Topological spaces

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 4/2013, Volume 273, Issue 3, pp. 981 - 997

We describe the rational homotopy type of any component of the based mapping space map*(X,Y) as an explicit L ∞ algebra defined on the (desuspended and...

Mapping space | Secondary 54C35 | Rational homotopy | Mathematics, general | Mathematics | Primary 55P62 | L ∞ -algebras | algebras | MATHEMATICS | LIE-ALGEBRA | MODELS | L infinity-algebras | Analysis | Algebra

Mapping space | Secondary 54C35 | Rational homotopy | Mathematics, general | Mathematics | Primary 55P62 | L ∞ -algebras | algebras | MATHEMATICS | LIE-ALGEBRA | MODELS | L infinity-algebras | Analysis | Algebra

Journal Article

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 7/2016, Volume 39, Issue 3, pp. 913 - 920

... · Commutative Gelfand–Naimark theorem · Real Banach algebra Mathematics Subject Classiﬁcation Primary 54D35 · 54D65 · 46J10 · 46J25 · 46E25 · 46E15 · Secondary 54C35...

Real Banach algebra | 16S60 | 54D65 | Mathematics | Commutative Gelfand–Naimark theorem | Primary 54D35 | 46E25 | 46J10 | 46E15 | Secondary 54C35 | Stone–Čech compactification | Mathematics, general | Applications of Mathematics | 46J25 | 46H05 | MATHEMATICS | SUPPORT | Stone-Cech compactification | Commutative Gelfand-Naimark theorem

Real Banach algebra | 16S60 | 54D65 | Mathematics | Commutative Gelfand–Naimark theorem | Primary 54D35 | 46E25 | 46J10 | 46E15 | Secondary 54C35 | Stone–Čech compactification | Mathematics, general | Applications of Mathematics | 46J25 | 46H05 | MATHEMATICS | SUPPORT | Stone-Cech compactification | Commutative Gelfand-Naimark theorem

Journal Article

Homology, Homotopy and Applications, ISSN 1532-0073, 2016, Volume 18, Issue 1, pp. 173 - 203

We denote the n-th projective space of a topological monoid G by B(n)G and the classifying space by BG. Let G be a well-pointed topological monoid having the...

Higher homotopy commutativity | An-space | Gauge group | Homotopy fiber sequence | Mapping space | gauge group | MATHEMATICS | A(n)-space | MATHEMATICS, APPLIED | MAPS | mapping space | homotopy fiber sequence | GAUGE GROUPS | HIGHER HOMOTOPY-COMMUTATIVITY | higher homotopy comutativity | LOOP-SPACES | Mathematics - Algebraic Topology

Higher homotopy commutativity | An-space | Gauge group | Homotopy fiber sequence | Mapping space | gauge group | MATHEMATICS | A(n)-space | MATHEMATICS, APPLIED | MAPS | mapping space | homotopy fiber sequence | GAUGE GROUPS | HIGHER HOMOTOPY-COMMUTATIVITY | higher homotopy comutativity | LOOP-SPACES | Mathematics - Algebraic Topology

Journal Article

The Journal of Geometric Analysis, ISSN 1050-6926, 7/2015, Volume 25, Issue 3, pp. 1620 - 1649

For each natural number $$d$$ d , the space $$R_d$$ R d of rational maps of degree $$d$$ d on the Riemann sphere has the structure of a complex manifold. The...

58D15 | Strongly dominable | 54C35 | Mathematics | Secondary 32H02 | Abstract Harmonic Analysis | Geometric invariant theory | Fourier Analysis | Cross-ratio | 32Q55 | Convex and Discrete Geometry | Categorical quotient | Stein manifold | Global Analysis and Analysis on Manifolds | Oka manifold | Holomorphic flexibility | {\mathbb C}$$ C -connected | Differential Geometry | Dynamical Systems and Ergodic Theory | Rational function | Primary 32Q28 | Dominable | C-connected | MATHEMATICS

58D15 | Strongly dominable | 54C35 | Mathematics | Secondary 32H02 | Abstract Harmonic Analysis | Geometric invariant theory | Fourier Analysis | Cross-ratio | 32Q55 | Convex and Discrete Geometry | Categorical quotient | Stein manifold | Global Analysis and Analysis on Manifolds | Oka manifold | Holomorphic flexibility | {\mathbb C}$$ C -connected | Differential Geometry | Dynamical Systems and Ergodic Theory | Rational function | Primary 32Q28 | Dominable | C-connected | MATHEMATICS

Journal Article

Demonstratio Mathematica, ISSN 0420-1213, 12/2012, Volume 45, Issue 4, pp. 947 - 952

In this paper, closedness of certain classes of functions in in the topology of uniform convergence is observed. In particular, we show that the function...

Primary 54C08, 54C35 | open set | cl-open set | topology of uniform convergence | semi open set | Secondary 54D05, 54E15 | uniform space | Topology of uniform convergence | Uniform space | Cl-open set | Semi open set | α-open set

Primary 54C08, 54C35 | open set | cl-open set | topology of uniform convergence | semi open set | Secondary 54D05, 54E15 | uniform space | Topology of uniform convergence | Uniform space | Cl-open set | Semi open set | α-open set

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 04/2019, Volume 147, Issue 4, pp. 1751 - 1762

The p-local homotopy types of gauge groups of principal G-bundles over S^4 are classified when G is a compact connected exceptional Lie group without p-torsion...

Homotopy-type | Gauge group | Samelson product | Exceptional Lie group | MATHEMATICS | MATHEMATICS, APPLIED | homotopy-type | exceptional Lie group | SAMELSON PRODUCTS | MAP

Homotopy-type | Gauge group | Samelson product | Exceptional Lie group | MATHEMATICS | MATHEMATICS, APPLIED | homotopy-type | exceptional Lie group | SAMELSON PRODUCTS | MAP

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 08/2020, Volume 70, Issue 4, pp. 909 - 916

Let be a completely regular topological space. For each closed non-vanishing ideal of ), the normed algebra of all bounded continuous scalar-valued mappings on...

Secondary 46J10 | algebra of continuous functions | 54C35 | Primary 54D35 | 46J25 | Stone-Čech compactification | Isomorphism | Multiplication | Properties (attributes) | Algebra | Topology

Secondary 46J10 | algebra of continuous functions | 54C35 | Primary 54D35 | 46J25 | Stone-Čech compactification | Isomorphism | Multiplication | Properties (attributes) | Algebra | Topology

Journal Article

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