Results 51 to 60 of about 12,992,220 (343)
Topological cyclic homology [PDF]
Handbook of Homotopy Theory, 2019 This survey of topological cyclic homology is a chapter in the Handbook on Homotopy Theory. We give a brief introduction to topological cyclic homology and the cyclotomic trace map following Nikolaus-Scholze, followed by a proof of B\"okstedt periodicity
L. Hesselholt, T. Nikolaus
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A convenient category of topological partial groups
Journal of the Egyptian Mathematical Society, 2019 In this paper, the concept of ℘-continuous map is introduced and some of their basic properties are discussed. Also, the category Ḱ $\mathbf {K}\acute {}$, of topological partial groups, as objects and the ℘-morphisms of topological partial groups, as ...
A. Fathy
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Advances in the Theory of Compact Groups and Pro-Lie Groups in the Last Quarter Century
Axioms, 2021 This article surveys the development of the theory of compact groups and pro-Lie groups, contextualizing the major achievements over 125 years and focusing on some progress in the last quarter century.
Karl H. Hofmann, Sidney A. Morris
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A Study on Neutrosophic Bitopological Group [PDF]
Neutrosophic Sets and Systems, 2020 In this paper we try to introduce neutrosophic bitopological group. We try to investigate some new definition and properties of neutrosophic bitopological group.
Bhimraj Basumatary, Nijwm Wary
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General Topology and its Applications, 1974 AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a closed subspace a homeomorphic copy of each finite power of the space.A major and immediate corollary of this theorem is: If P is a closed hereditary property of Tychonoff spaces, and if the free abelian topological group over a Tychonoff spaces has P, then ...
Barbara V. Smith Thomas +1 more
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On monotonic bijections on subgroups of R
Applied General Topology, 2016 We show that for any continuous monotonic bijection $f$ on a $\sigma$-compact subgroup $G\subset \mathbb R$ there exists a binary operation $+_f$ such that $\langle G, +_f\rangle$ is a topological group topologically isomorphic to $\langle G, +\rangle$
Raushan Buzyakova
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Topologically orderable groups
General Topology and its Applications, 1975 AbstractTopological groups whose topology can be induced by a total order are characterized up to homeomorphism. In particular, a non-metrizable topological group is in this class if and only if it has a totally ordered base at the identity consisting of (closed and) open subgroups.
Peter Nyikos, Hans‐Christian Reichel
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Pseudo-Normality and Pseudo-Tychonoffness of Topological Groups
MathematicsIt is common knowledge that any topological group that satisfies the lowest separation axiom, T0, is immediately Hausdorff and completely regular; however, this is not the case for normality.
Mesfer H. Alqahtani +3 more
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On transversal group topologies
Topology and its Applications, 2005 AbstractTwo non-discrete Hausdorff group topologies τ1, τ2 on a group G are called transversal if the least upper bound τ1∨τ2 of τ1 and τ2 is the discrete topology. We show that an infinite totally bounded topological group never admits a transversal group topology and we obtain a new criterion for precompactness in lattice-theoretical terms (the ...
DIKRANJAN, Dikran +2 more
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The equivalent condition of G-asymptotic tracking property and G-Lipschitz tracking property
Open Mathematics, 2022 In this paper, we introduce the concepts of GG-Lipschitz tracking property and GG-asymptotic tracking property in metric GG-space and obtain the equivalent conditions of GG-asymptotic tracking property in metric GG-space.
Ji Zhanjiang
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