publication . Article . 2009

Gδ-points in remainders of topological groups and some addition theorems in compacta

Alexander Arhangel’skii;
Open Access
  • Published: 01 Jul 2009 Journal: Topology and its Applications, volume 156, pages 2,013-2,018 (issn: 0166-8641, Copyright policy)
  • Publisher: Elsevier BV
Abstract
Abstract In this article we establish some connections between properties of a topological space X and the structure of convergence at G δ -points in an arbitrary remainder of this space X. A special attention is given to the case when X is a topological group.
Subjects
free text keywords: Geometry and Topology, Ultrafilter, Bisequential space, Gδ-point, Pseudocharacter, Topological group, Dyadic compactum, π-Base, Pseudocompact space, Lindelöf space, First countable, Compactification, Remainder, Ulam non-measurable cardinal, Topological algebra, Mathematics, Zero-dimensional space, Homeomorphism, Topological ring, Discrete mathematics, Topological vector space, Topological space, Connected space, Pure mathematics, Topological manifold
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