Topology + Foundations
32nd Summer Conference on Topology and Its Applications
In 1997, Buzjakova proved that for a pseudocompact Tychonoff space X and λ = | βX|+, X condenses onto a compact space if and only if X×(λ+1) condenses onto a normal space. This is a condensation form of Tamano's theorem. An interesting problem is to determine how much of Buzjakova's result will hold if "pseudocompact" is removed from the hypothesis.
In this talk, I am going to show for a Tychonoff space X, there is a cardinal λ such that if X×(λ+1) condenses onto a normal space, then X condenses onto a countably paracompact space.
Copyright © 2017, the Author
Niknejad, Jila, "Normal Images of a Product and Countably Paracompact Condensation" (2017). Summer Conference on Topology and Its Applications. 19.