Open AccessS-paracompactness and S2-paracompactness
Author(s) -
Ohud Alghamdi,
Lutfi Kalantan,
Wafa Alagal
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1917645a
Subject(s) - paracompact space , mathematics , hausdorff space , separable space , bijection , subspace topology , pure mathematics , homeomorphism (graph theory) , combinatorics , mathematical analysis
A topological space X is an S-paracompact if there exists a bijective function f from X onto a paracompact space Y such that for every separable subspace A of X the restriction map f|A from A onto f (A) is a homeomorphism. Moreover, if Y is Hausdorff, then X is called S2-paracompact. We investigate these two properties.