Alberto Salguero Alarcón: A twisted sum of C(K)-spaces not isomorphic to any C(K)-space

Tuesday, October 19, 2021 17:00

Location: room 605, Mathematical Institute, University of Wroclaw

Speaker:
Alberto Salguero Alarcón (Universidad de Extremadura, Badajoz, Spain)


Title: A twisted sum of C(K)-spaces not isomorphic to any C(K)-space

Abstract: A twisted sum of two Banach spaces X and Y is another space Z containing Y as a closed subspace so that Z/Y=X. In this talk we focus on twisted sums of spaces of continuous functions on compact spaces. It has been known for some time that a twisted sum of two C(K)-spaces does not need to be isomorphic to a C(K)-space. We will focus on one recent and singular construction which serves as an example: a twisted sum of c0 and c0(c) which is not isomorphic to any C(K)-space. This is part of a joint work with Grzegorz Plebanek.