Predavatelj: Niko Tratnik (Univerza v Mariboru)

We explore the cardinality of generalised inverse limits. Among other things, we show that, for any n in {aleph_0, c, 1,2,3,4,…}, there is an upper semicontinuous function with the inverse limit having exactly n points. We also prove that if f is an upper semicontinuous function whose graph is a continuum, then the cardinality of the corresponding inverse limit is either 1, aleph_0 or c.

Predavanje bo potekalo v predavalnici 104 na PMF Univerze v Zagrebu.