Compact-bounded topological groups
J. A. Mart\'inez-Cadena

TL;DR
This paper investigates two specific subclasses of feebly compact spaces within (para)topological groups, namely compact-bounded and weakly compact-bounded spaces, and explores their properties and related subsets.
Contribution
It introduces and studies the properties of compact-bounded and weakly compact-bounded spaces in the context of (para)topological groups, expanding understanding of feebly compact spaces.
Findings
Characterization of compact-bounded spaces in topological groups
Analysis of weakly compact-bounded subsets and their properties
Relationships between feebly compact, compact-bounded, and weakly compact-bounded spaces
Abstract
We will study two subclasses of the class of feebly compact spaces in the class of (para)topological groups, the compact-bounded and weakly compact-bounded spaces, both introduced by J. Angoa, Y. F. Ortiz-Castillo and A. Tamariz-Mascar\'ua in [4]. Also, we will study the -weakly compact-bounded subsets of a topological space .
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Taxonomy
TopicsAdvanced Topology and Set Theory · Advanced Banach Space Theory
