C-Tychonoff and L-Tychonoff Topological Spaces

Samirah ALZahrani

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.

Keywords

Tychonoff; C-Tychonoff; C-normal; C-regular; epinormal; submetrizable; L-Tychonoff.

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