Grzegorz Plebanek: A connected version of Kunen's compact L-space
20/01/21 16:57
Tuesday, January 26, 2021 17:00
Location: Zoom.us: if you want to participate please contact organizers
Speaker: Grzegorz Plebanek
Title: A connected version of Kunen's compact L-space
Abstract: Modifying Kunen's construction from 1981, we show that under CH there is a compact connected space K that carries a regular normal probability measure (normal = `all Borel sets with empty interior have measure zero'). Then we show that the Banach space C(K) of continuous functions is isomorphic to no space of the form C(L) with L compact and zero-dimensional.
Location: Zoom.us: if you want to participate please contact organizers
Speaker: Grzegorz Plebanek
Title: A connected version of Kunen's compact L-space
Abstract: Modifying Kunen's construction from 1981, we show that under CH there is a compact connected space K that carries a regular normal probability measure (normal = `all Borel sets with empty interior have measure zero'). Then we show that the Banach space C(K) of continuous functions is isomorphic to no space of the form C(L) with L compact and zero-dimensional.