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Universal Journal of Mathematics and Mathematical Sciences

Universal Journal of Mathematics and Mathematical Sciences
Volume 11, Issue 1, Pages 39 - 49 (June 2018)
http://dx.doi.org/10.17654/UM011010039

NECESSARY AND SUFFICIENT CONDITIONS FOR A SPACE TO HAVE A MAXIMAL, PROPER, DENSE, NORMAL T₀ OR A T₄ SUBSPACE

Charles Dorsett

Abstract:

Necessary and sufficient conditions for a space to have a maximal, proper, dense, normal T₀ or a maximal, proper, dense, T₄ subspace are found which motivates the introduction of a new topological property.

Keywords and phrases:

proper subspaces, dense subspaces, maximal subspaces, normal.

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P-ISSN: 2277-1417

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