Results on C2-paracompactness

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i2.3941

Keywords:

normal, paracompact, sigma product, $C$-paracompact, $C_2$-paracompact, $C$-normal, open invariant, Alexandroff duplicate.

Abstract

A C-paracompact is a topological space X associated with a paracompact space Y and a bijective function f : X −→ Y satisfying that f A: A −→ f(A) is a homeomorphism for each compact subspace A ⊆ X. Furthermore, X is called C2-paracompact if Y is T2 paracompact. In this article, we discuss the above concepts and answer the problem of Arhangel’ski ̆i. Moreover, we prove that the sigma product Σ(0) can not be condensed onto a T2 paracompact space.

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Published

2021-05-18

Issue

Section

Nonlinear Analysis

How to Cite

Results on C2-paracompactness. (2021). European Journal of Pure and Applied Mathematics, 14(2), 351-357. https://doi.org/10.29020/nybg.ejpam.v14i2.3941

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