Events
DMS Set Theoretic Topology Seminar |
Time: Mar 27, 2019 (02:00 PM) |
Location: Parker Hall 246 |
Details: Speaker: Ziqin Feng will continue Abstract: Let \(X\) and \(Y\) be spaces. \(X\) is said to be \( Y\)-selective if every lower semicontinuous mapping from \(Y\) to the nonempty closed subsets of \(X\) has a continuous selection. Let \(L\) be a convergent sequence with limit point; e.g., \(L={1/n: n=1,2,…} \cup {0}\). Assuming Martin’s Axiom, we construct a space \(X\) which is \(L\)-selective but not \(Q\)-selective, where \(Q\) is the space of rational numbers. It is not known if there is such an example in ZFC.
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