The Compactification of a Non-compact Topological Space

Authors: Balowayi Bondu Bernard, Kankolongo Kadilu Patient

DOI: https://doi.org/10.17605/OSF.IO/STR86

Short DOI: https://doi.org/ggkv7z

Country: Congo (Democratic)

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Abstract: In this paper, we have proved in details the existence of an homeomorphism between R^n compactified and a topological variety in n+1 dimensions, knowing that the R^n topological space is not compact but locally compact.

Keywords: Compactification, Locally Compact Space, Homeomorphism, Alexandrov Compactification, Stereographic Projection.

Paper Id: 362

Published On: 2018-11-03

Published In: Volume 6, Issue 6, November-December 2018

Cite This: The Compactification of a Non-compact Topological Space - Balowayi Bondu Bernard, Kankolongo Kadilu Patient - IJIRMPS Volume 6, Issue 6, November-December 2018. DOI 10.17605/OSF.IO/STR86

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