Compact self T1-complementary spaces without isolated points

Mikhail Tkachenko

Mexico

Universidad Autónoma Metropolitana

Departamento de Matemáticas, Universidad Autónoma Metropolitana, Av.San Rafael Atlixco 186, Col. Vicentina, Iztapalapa, C.P. 09340, México D.F.,México
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Accepted: 2013-09-30

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DOI: https://doi.org/10.4995/agt.2009.1739
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Keywords:

Alexandroff duplicate, ˇCech–Stone compactification, Compact, Isolated point, T1-complementary, Transversal topology

Supporting agencies:

This research was not funded

Abstract:

We present an example of a compact Hausdorff self T1-complementary space without isolated points. This answers Question 3.11 from [A compact Hausdorff topology that is a T1-complementof itself, Fund. Math. 175 (2002), 163–173] affirmatively.
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References:

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