G-Connectedness in Topological Groups with Operations
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Date
2018
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Journal ISSN
Volume Title
Publisher
UNIV NIS, FAC SCI MATH
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
It is a well known fact that for a Hausdorff topological group X, the limits of convergent sequences in X define a function denoted by lim from the set of all convergent sequences in X to X. This notion has been modified by Connor and Grosse-Erdmann for real functions by replacing lim with an arbitrary linear functional G defined on a linear subspace of the vector space of all real sequences. Recently some authors have extended the concept to the topological group setting and introduced the concepts of G-continuity, G-compactness and G-connectedness. In this paper we present some results about G-hulls, G-connectedness and G-fundamental systems of G-open neighbourhoods for a wide class of topological algebraic structures called groups with operations, which include topological groups, topological rings without identity, R-modules, Lie algebras, Jordan algebras, and many others.
Description
3rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty, KAZAKHSTAN
Keywords
Sequences, summability, G-hull, G-continuity, G-connectedness, topological group with operations
Journal or Series
FILOMAT
WoS Q Value
Q2
Scopus Q Value
Q3
Volume
32
Issue
3
