C-Tychonoff and L-Tychonoff Topological Spaces
DOI:
https://doi.org/10.29020/nybg.ejpam.v11i3.3253Keywords:
Tychonoff, C-Tychonoff, C-normal, C-regular, epinormal, submetrizable, L-Tychonoff.Abstract
A topological space X is called C-Tychonoff if there exist a one-to-one function f from X onto a Tychonoff space Y such that f restriction K from K onto f(K) is a homeomorphism for each compact subspace K of X. We discuss this property and illustrate the relationships between C-Tychonoffness and some other properties like submetrizability, local compactness, L-Tychononess, C-normality, C-regularity, epinormality, sigma-compactness, pseudocompactness and zero-dimensional.
Downloads
Published
Issue
Section
License
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.