Results 21 to 30 of about 80,484 (161)

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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Irresolute-topological groups [PDF]

Mathematica Moravica, 2015
We introduce and study two classes of topologized groups, which are called here irresolute-topological and Irr-topological, investigate their properties, and establish their differences from topological groups.
Khan Moiz ud Din, Siab Afra, Kočinac Ljubiša D.R.   +2 more
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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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Pθ-Topological Groups in Nonstandard Analysis [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2012
The aim of this paper is to introduce and study a new class of topological groups called Pθ-topological group. By using some nonstandard techniques, we investigated some properties of Pθ-monads in Pθ-topological group.
Tahir Ismail, Ibrahim Hamad, Sami Hussein   +2 more
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Isotropy group on some topological transformation group structures

Математичні Студії
This paper explores the topological properties of irresolute topological groups, their quotient maps, and the role of topology in normal subgroups. It provides a detailed analysis\linebreak using examples and counterexamples.
D. Keerthana, V. Visalakshi
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On s-topological groups [PDF]

Mathematica Moravica, 2014
In this paper we study the class of s-topological groups and a wider class of S-topological groups which are defined by using semi-open sets and semi-continuity introduced by N. Levine.
Bosan Muhammad Siddique, Ud Din Khan Moiz, Kočinac Ljubiša D.R.   +2 more
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Topologizing Homeomorphism Groups

Journal of Function Spaces and Applications, 2013
From the author's abstract: ``This paper surveys topologies, called admissible group topologies, of the full group of self-homeomorphisms \(\mathcal H(X)\) of a Tychonoff Space \(X\), which yield continuity of both the group operations and the same time provide continuity of the evaluation function or, in other words, make the evaluation function a ...
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ω-NARROWNESS AND RESOLVABILITY OF TOPOLOGICAL GENERALIZED GROUPS [PDF]

Journal 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
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