Włodzimierz Charatonik

Włodzimierz Charatonik: Degree of non local connectedness

Tuesday, May 19, 2020 18:15

Location: Zoom.us: if you want to participate please contact organizers

Speaker:
Włodzimierz Charatonik

Title: Degree of non local connectedness

Abstract. For a given continuum \(X\) we assign a cardinal number or a symbol \(\infty\)  \(\tau(X)\) called degree of non local connectedness. The number \(\tau(X)\) cannot be increased by a continuous image; we show theorems about cartesian products, hyperspaces etc. Based on an article by Janusz J. Charatonik and Włodzimierz J. Charatonik

Włodzimierz Charatonik: Zero-dimensional compact metric spaces \(X\) whose squares \(X^2\) are homeomorphic to \(X\)

Tuesday, May 19, 2020 17:15

Location: Zoom.us: if you want to participate please contact organizers

Speaker:
Włodzimierz Charatonik

Title: Zero-dimensional compact metric spaces \(X\) whose squares \(X^2\) are homeomorphic to \(X\)

Abstract. We construct a family of cardinality \(\omega_1\) of (non homeomorphic) countable compact metric spaces \(X\) such that \(X\) is homeomorphic to \(X^2\). Based on an article by Włodzimierz J. Charatonik and Sahika Sahan.