On nearly Hausdorff compactifications

Sejal Shah, T.K. Das

Abstract

We introduce and study here the notion of nearly Hausdorffness, a separation axiom, stronger than T1 but weaker than T2. For a space X, from a subfamily of the family of nearly Hausdorff spaces, we construct a compact nearly Hausdorff space rX containing X as a densely C*-embedded subspace. Finally, we discuss when rX is βX.


Keywords

Regular closed set; Filter; Compactification; Wallman base

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References

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T. K. Das, On Projective Lift and Orbit Space, Bull. Austral. Math. Soc. 50 (1994), 445-449. http://dx.doi.org/10.1017/S0004972700013551

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Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt