Results 31 to 40 of about 80,484 (161)
On almost topological groups [PDF]
Mathematica Moravica, 2019 We introduce and study the almost topological groups which are fundamentally a generalization of topological groups. Almost topological groups are defined by using almost continuous mappings in the sense of Singal and Singal.
Ram Madhu
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Rough action on topological rough groups
Applied General Topology, 2020 In this paper we explore the interrelations between rough set theory and group theory. To this end, we first define a topological rough group homomorphism and its kernel.
Alaa Altassan +3 more
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Topological lattice-ordered groups [PDF]
Pacific Journal of Mathematics, 1979 Several types of hulls and completions of lattice ordered groups have been obtained by algebraic methods. In this paper is laid some groundwork for the application of topological and uniform-space concepts to the same end by setting forth those links—topological, algebraic and semantic— between a topological lattice ordered group H and a topologically ...
openaire +2 more sources
The meet of locally connected group topologies
International Journal of Mathematics and Mathematical Sciences, 1994 The collection of all group topologies on a given group is a complete lattice partially ordered by inclusion. The purpose of this paper is to develop a convenient method of defining the meet of an arbitrary collection of group topologies and demonstrate ...
Dorene J. Fox
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Statistical and lacunary statistical convergence of interval numbers in topological groups
Acta Scientiarum: Technology, 2014 In this paper we introduce the concepts of statistical and lacunary statistical convergence of interval numbers in topological groups. We prove some inclusion relations and study some of their properties.
Ayhan Esi
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On strongly reflexive topological groups
Applied General Topology, 2001 An Abelian topological group G is strongly reflexive if every closed subgroup and every Hausdorff quotient of G and of its dual group G⋀, is reflexive. In this paper we prove the following: the annihilator of a closed subgroup of an almost metrizable ...
M. J. Chasco, E. Martin-Peinador
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Topological groups: local versus global
Applied General Topology, 2006 It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement using quotients.
A.V. Arhangelskii, Vladimir V. Uspenskij
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On orderability of topological groups
International Journal of Mathematics and Mathematical Sciences, 1985 A necessary and sufficient condition for a topological group whose topology can be induced by a total order compatible with the group structure is given and such groups are called ordered or orderable topological groups.
G. Rangan
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Characterized Subgroups of Topological Abelian Groups
Axioms, 2015 A subgroup H of a topological abelian group X is said to be characterized by a sequence v = (vn) of characters of X if H = {x ∈ X : vn(x) → 0 in T}. We study the basic properties of characterized subgroups in the general setting, extending results known ...
Dikran Dikranjan +2 more
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NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES [PDF]
Journal of Algebraic Systems, 2019 The purpose of this paper is to introduce new methods for constructing generalized groups, generalized topological groups and top spaces. We study some properties of these structures and present some relative concrete examples.
Z. Nazari, A. Delbaznasab, M. Kamandar
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