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The Fell hypertopology: A topological space which is always compact.
Student-Run Geometry/Topology Seminar| Speaker: | Jason Hole, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Sep 28 2006, 3:10PM |
We will go through two proofs that the Fell hypertopology is always compact: first, in an elegant way, as an application of the Alexander Subbase Theorem; second, and in a significantly more involved way, as corollary to Mrowka's Theorem, which states nets of closed subsets have (non-topological) Kuratowski-Painleve convergent subnets.