Compact self T1-complementary spaces without isolated points

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