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.
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