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- Title
A NEW APPROACH TO NEARLY PARACOMPACT SPACES.
- Authors
MUKHARJEE, A.
- Abstract
The pre-open sets are a generalization of open sets of topological spaces. In this paper, we introduce and study a notion of po-paracompact spaces via pre-open sets on topological spaces. We see that po-paracompact spaces are equivalent to nearly paracompact spaces. However, we find new characterizations to nearly paracompact spaces when we study it in the sense of poparacompact spaces. We see that a topological space is nearly paracompact if and only if each regularly open cover of the topological space has a locally finite pre-open refinement. We also show that four statements involving pre-open sets on an almost regular topological space are equivalent. A result on a subspace of a topological space is also obtained in term of pre-open sets.
- Subjects
GENERALIZATION; SET theory; TOPOLOGICAL spaces; SUBSPACES (Mathematics); MATHEMATICAL notation
- Publication
Matematychni Studii, 2023, Vol 60, Issue 2, p201
- ISSN
1027-4634
- Publication type
Article
- DOI
10.30970/ms.60.2.201-207