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On p-topological groups [PDF]

open access: yesMathematica Moravica, 2021
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
doaj   +1 more source

ω-NARROWNESS AND RESOLVABILITY OF TOPOLOGICAL GENERALIZED GROUPS [PDF]

open access: yesJournal of Algebraic Systems, 2020
. 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
doaj   +1 more source

Generalization of soft topological groups

open access: yesJournal of the Egyptian Mathematical Society, 2020
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
doaj   +1 more source

A Selection Principle and Products in Topological Groups

open access: yesAxioms, 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
doaj   +1 more source

On the Structure of Topological Spaces

open access: yesAxioms, 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
doaj   +1 more source

★-quasi-pseudometrics on algebraic structures

open access: yesApplied 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
doaj   +1 more source

Pseudocompact and precompact topological subsemigroups of topological groups

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2023
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
doaj   +1 more source

Categorically Closed Topological Groups

open access: yesAxioms, 2017
Let C → be a category whose objects are semigroups with topology and morphisms are closed semigroup relations, in particular, continuous homomorphisms.
Taras Banakh
doaj   +1 more source

Each topological group embeds into a duoseparable topological group [PDF]

open access: yesTopology Appl. 289 (2021) 107487, 2020
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:GH, Where G Is a Metric Divisible Group

open access: yesMathematics, 2022
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
doaj   +1 more source

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