Results 11 to 20 of about 80,484 (161)
Commutative Topological Semigroups Embedded into Topological Abelian Groups
In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
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Interval-valued intuitionistic fuzzy topological groups: Some properties [PDF]
In this study, we introduce the concepts of interval-valued intuitionistic fuzzy group (abbreviated IVIFG), interval-valued intuitionistic fuzzy topological group (abbreviated IVIFTG), and interval-valued intuitionistic fuzzy product topology ...
R. Santhi, N. Udhayarani
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The purpose of this paper is to provide a brief expository sketch of [Proc. Am. Math. Soc. 12, 737-743 (1961; Zbl 0106.026)].
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Counting subgroups and topological group topologies [PDF]
Algebra. Either |^(G)| = 2a or |^(G)| = a. If \S?(G)\ = a then a = co. We describe and characterize those (countable) G such that \S?(G)\ = ω, and we give several examples. Topology. If γ 2 α, then &(y) = 0; otherwise 2 αγ . If γ > 2 α then Jt(y) = 0; if log(α) < γ < 2 α then = 2 α γ; and if ω < γ < a then K(γ)| = 2 α. 0. Introduction and motivation.
Berhanu, Shiferaw +2 more
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Some Analogues of Topological Groups
Let (G, ∗) be a group and τ be a topology on G. Let τα = {A ⊆G : A ⊆ Int(Cl(Int(A)))}, g ∗ τ = {g ∗ A : A ∈ τ} for g ∈ G. In this paper, we establish two relations between G and τ under which it follows that g ∗ τ ⊆ τα and g ∗ τα ⊆ τα, designate them by ...
Ram Madhu
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Notions of Lowen type fuzzy soft topological space are introduced and some of their properties are established in the present paper. Besides this, a combined structure of a fuzzy soft topological space and a fuzzy soft group, which is termed here as ...
S. Nazmul, S.K. Samanta
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Compatible Group Topologies [PDF]
Two topologies defined on some space are compatible if they contain in common a Hausdorff topology. The following result is proved for two compatible group topologies A 1 {\mathcal {A}_1} and A
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Jozef Schreier "On finite base in topological groups'' [PDF]
One of the Ph.D. students in mathematics that belonged to Lviv Mathematical School of1920–1939 years is J´ozef Schreier. In the article, the authors provide an overview of main resultsof the unpublished thesis “On finite base in topological groups” by J ...
Ya. Prytula, I. Guran
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Categorically Closed Topological Groups
Let C → be a category whose objects are semigroups with topology and morphisms are closed semigroup relations, in particular, continuous homomorphisms.
Taras Banakh
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Rough representations of rough topological groups
In this paper, the concept of rough representation of a rough topological group on a Banach space is explored. Mainly, the continuity and the irreducibility of rough representations are studied.
Essoyomewè Kieou +2 more
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