You are not logged in | log in

Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego

  • Skala szarości
  • Wysoki kontrast
  • Negatyw
  • Podkreślenie linków
  • Reset

Aktualności — Wydarzenia

Topology and Set Theory Seminar

 

Strongly rigid countable Hausdorff spaces


Prelegent: Taras Banakh

2024-01-24 16:15

A topological space $X$ is strongly rigid if every no-identity continuous self-map of $X$ is constant. Among known examples of strongly rigid spaces one can recall the famous Cook continua. In fact, every strongly rigid topological space is connected.
We shall explain how to construct strongly rigid COUNTABLE Hausdorff spaces.
Such countable Hausdorff spaces are connected and so cannot be functionally Hausdorff.