Summer Conference on Topology and Its Applications

Document Type

Semi-plenary Lecture

Publication Date


Publication Source

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.


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