Compact self T1-complementary spaces without isolated points

Mikhail Tkachenko

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.

Keywords

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

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References

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1. Transversal, T1-independent, and T1-complementary topologies
Aleksander Błaszczyk, Mikhail Tkachenko
Topology and its Applications  vol: 230  first page: 308  year: 2017  
doi: 10.1016/j.topol.2017.08.018



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Universitat Politècnica de València

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