On obtaining an ε - Compactification of a topological space

Authors

  • Amos Otieno Wanjara

DOI:

https://doi.org/10.65000/kgbjaq65

Keywords:

Compactification; Equivalent Compactification; the one point Compactificaton; Hausdorff space.

Abstract

It is known that one of the most elementary and functional notions of finiteness in analysis, algebra and topology is the notion of compactness yet mathematicians work with many non-compact topological spaces, which have applications that require some properties of compact spaces. The purpose of this paper is to check the conditions under which if Z is a compactification of W, under what condition can a continuous real-valued function defined on W be extended continuously to Z where Z is an ε - compactification of W. 

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Published

16-01-2020

Issue

Vol. 3 No. 1 (2020)

Section

Articles

License

Copyright (c) 2020 Amos Otieno Wanjara

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Wanjara, A. O. (2020). On obtaining an ε - Compactification of a topological space. International Journal of Modern Computation, Information and Communication Technology, 3(1), 1-4. https://doi.org/10.65000/kgbjaq65