COMPACT SUBSPACES OF SOME EXQUISITE TOPOLOGIES

Article Type

Research Article

Publication Title

Mathematics Student

Abstract

In this expository article, we will try to find all compact subspaces of a variety of standard and non-standard topologies. As a consequence, we will categorise the compact sets for a large collection of topologies on the real line and associated spaces. We will also look into the concept of alpha-compactness, partial topology and try to see how alpha-compactness behaves with respect to the latter.

First Page

29

Last Page

43

Publication Date

1-1-2023

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