DMS Topology Seminar

Speaker: Vladimir Tkachuk (Universidad Autónoma Metropolitana de México) 

Title: On Lindelof scattered subspaces of nice \(sigma\)-products

Abstract: We will show that there exists an Eberlein compact space \(K\) such that some Lindelöf subspace of \(K\) fails to be a Lindelöf \(\Sigma\)-space. We also prove that any scattered Lindelöf subspace of a \(\sigma\)-product of first countable spaces is \(\sigma\)-compact. It is established that if \(X\) is the \(G_\delta\)-modification of a scattered compact space, then \(ext(C_p(X)) = \omega\).