Results 21 to 30 of about 13,238,488 (369)
Topological Homotopy Groups [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2008 D. K. Biss (Topology and its Applications 124 (2002) 355-371) introduced the topological fundamental group and presented some interesting basic properties of the notion. In this article we intend to extend the above notion to homotopy groups and try to prove some similar basic properties of the topological homotopy groups.
Ghane, H. +3 more
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Advances in Materials, 2020 It has been demonstrated that topological nontrivial surface states can favor heterogeneous catalysis processes such as the hydrogen evolution reaction (HER), but a further decrease in mass loading and an increase in activity are still highly challenging.
Qun Yang +5 more
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On the Structure of Topological Spaces
Axioms, 2022 The structure of topological spaces is analysed here through the lenses of fibrous preorders. Each topological space has an associated fibrous preorder and those fibrous preorders which return a topological space are called spatial.
Nelson Martins-Ferreira
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★-quasi-pseudometrics on algebraic structures
Applied General Topology, 2023 In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric space which is not a quasi-pseudometric space.
Shi-Yao He, Ying-Ying Jin, Li-Hong Xie
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Long Colimits of Topological Groups III: Homeomorphisms of Products and Coproducts
Axioms, 2021 The group of compactly supported homeomorphisms on a Tychonoff space can be topologized in a number of ways, including as a colimit of homeomorphism groups with a given compact support or as a subgroup of the homeomorphism group of its Stone-Čech ...
Rafael Dahmen, Gábor Lukács
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NOTES ON -TOPOLOGICAL GROUPS AND HOMEOMORPHISMS OF TOPOLOGICAL GROUPS [PDF]
Bulletin of the Australian Mathematical Society, 2012 AbstractIn this paper, it is shown that there exists a connected topological group which is not homeomorphic to any $\omega $-narrow topological group, and also that there exists a zero-dimensional topological group $G$ with neutral element $e$ such that the subspace $X = G\setminus \{e\}$ is not homeomorphic to any topological group. These two results
Hanfeng Wang, Wei He
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Classification of crystalline topological insulators and superconductors with point group symmetries [PDF]
Physical review B, 2018 Crystalline topological phases have recently attracted a lot of experimental and theoretical attention. Key advances include the complete elementary band representation analyses of crystalline matter by symmetry indicators and the discovery of higher ...
E. Cornfeld, Adam Chapman
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Balleans of topological groups [PDF]
Journal of Mathematical Sciences, 2011 A subset S of a topological group G is called bounded if, for every neighborhood U of the identity of G, there exists a finite subset F such that S ⊆ FU, S ⊆ UF. The family of all bounded subsets of G determines two structures on G, namely the left and right balleans Bl(G) and Br(G) , which are counterparts of the left and
Hernández, Salvador, Protasov, I.
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The Journal of Symbolic Logic, 2023 Abstract We investigate what it means for a (Hausdorff, second-countable) topological group to be computable. We compare several potential definitions based on classical notions in the literature. We relate these notions with the well-established definitions of effective presentability for discrete and profinite groups, and compare our results with ...
Koh, Heer Tern +2 more
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Bubbles and jackets: new scaling bounds in topological group field theories [PDF]
, 2012 A bstractWe use a reformulation of topological group field theories in 3 and 4 dimensions in terms of variables associated to vertices, in 3d, and edges, in 4d, to obtain new scaling bounds for their Feynman amplitudes.
Sylvain Carrozza, D. Oriti
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