32nd Summer Conference on Topology and Its Applications
We will present some known and some new results about Lindelöf Σ-spaces. We extend some classical results about the Lindelöf and the Lindelöf Σ-property in spaces Cp(X) for compact X to the case when X is a Lindelöf Σ-space. We also present some results about the Lindelöf Σ-property in Σs-products. A result of Tkachenko is generalized by showing that the bound w(X) ≤ nw(X)Nag(X) holds for regular (not necessarily Tychonoff) spaces. Finally we present the solution for two question posed by V. V. Tkachuk about Eberlein and Corson compact spaces.
Copyright © 2017, the Authors
Rojas-Hernandez, Reynaldo; Casarrubias-Segura, Fidel; and Garcia-Ferreira, Salvador, "On the Lindelöf Σ-Property and Some Related Conclusions" (2017). Summer Conference on Topology and Its Applications. 58.