Results 21 to 30 of about 100,494 (261)
A Selection Principle and Products in Topological Groups
Axioms, 2022 We consider the preservation under products, finite powers, and forcing of a selection-principle-based covering property of T0 topological groups. Though the paper is partly a survey, it contributes some new information: (1) The product of a strictly o ...
Marion Scheepers
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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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Topologically complete groups [PDF]
Proceedings of the American Mathematical Society, 1972 Topologically complete groups are characterized by the existence of a compact subgroup such that the coset space is topologically complete and metrizable. Coset spaces of topologically complete groups and extensions of one topologically complete group by another are again topologically complete.
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Topological groups of bounded homomorphisms on a topological group [PDF]
Filomat, 2016 We consider a few types of bounded homomorphisms on a topological group. These classes of bounded homomorphisms are, in a sense, weaker than the class of continuous homomorphisms. We show that with appropriate topologies each class of these homomorphisms on a complete topological group forms a complete topological group.
Kocinac, Ljubisa D. R., Zabeti, Omid
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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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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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Projective Topological Groups [PDF]
Proceedings of the American Mathematical Society, 1967 The notion of a projective topological group for a category of topological groups has been defined by Hofmann [4]. Free topological groups have been of interest in the study of topological groups since theirinventionby Markov [5]. It is the purpose of this paper to develop the concept of projective in the category of Abelian topological groups, based ...
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Free Boolean Topological Groups
Axioms, 2015 Known and new results on free Boolean topological groups are collected. An account of the properties that these groups share with free or free Abelian topological groups and properties specific to free Boolean groups is given.
Ol’ga Sipacheva
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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 certain groups of functions
International Journal of Mathematics and Mathematical Sciences, 1980 Let C(X,G) denote the group of continuous functions from a topological space X into a topological group G with the pointwise multiplication and the compact-open topology. We show that there is a natural topology on the collection of normal subgroups Δ(X)
J. S. Yang
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