C-Tychonoff and L-Tychonoff Topological Spaces

Authors

  • Samirah ALZahrani

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i3.3253

Keywords:

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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Published

2018-07-31

Issue

Section

Coding Theory and Cryptology

How to Cite

C-Tychonoff and L-Tychonoff Topological Spaces. (2018). European Journal of Pure and Applied Mathematics, 11(3), 882-892. https://doi.org/10.29020/nybg.ejpam.v11i3.3253

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