Compact-bounded topological groups

2022/08/10 by Martínez-Cadena, J. A.
#54C10 #54D30 #54D99 #FOS: Mathematics #General Topology (math.GN) #Primary 22A05 #Secondary 54A05

paper · doi:10.48550/arxiv.2208.05105

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-Mascarúa in [4]. Also, we will study the r-weakly compact-bounded subsets of a topological space X.

Related

• Bounded Topological Groups
• The weak compactification of locally compact groups
• Compactifications of topological groups
• A class of compact subsets for non-sober topological spaces
• Boundedness properties in function spaces