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In this paper, we introduce the notions of p-topological group and p-irresolute topological group which are generalizations of the notion topological group.
Jafari Saeid+2 more
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ω-NARROWNESS AND RESOLVABILITY OF TOPOLOGICAL GENERALIZED GROUPS [PDF]
. A topological group H is called ω -narrow if for every neighbourhood V of it’s identity element there exists a countable set A such that V A = H = AV.
M. R. Ahmadi Zand, S. Rostami
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Generalization of soft topological groups
There exists two different definitions for soft topological groups, the first due to Hida and the other due to Tariq Shah. In this paper, we give a generalization for both of them, and also, we study the topological properties for the construction of ...
O. Tantawy, S. A. Kandil, A ElShamy
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A Selection Principle and Products in Topological Groups
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
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
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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Pseudocompact and precompact topological subsemigroups of topological groups
It is known that every pseudocompact topological group is precompact, we extend this result to a class of subsemigroup of topological groups. Then we use this results to prove that cancellative locally compact countably compact topological semigroups ...
Julio Cesar Hernandez
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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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Each topological group embeds into a duoseparable topological group [PDF]
A topological group $X$ is called $duoseparable$ if there exists a countable set $S\subseteq X$ such that $SUS=X$ for any neighborhood $U\subseteq X$ of the unit. We construct a functor $F$ assigning to each (abelian) topological group $X$ a duoseparable (abelain-by-cyclic) topological group $FX$, containing an isomorphic copy of $X$.
arxiv +1 more source
Derivative for Functions f:G→H, Where G Is a Metric Divisible Group
In this paper, a derivative for functions f:G→H, where G is any metric divisible group and H is a metric Abelian group with a group metric, is defined. Basic differentiation theorems are stated and demonstrated. In particular, we obtain the Chain Role.
Héctor Andrés Granada Díaz+2 more
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