Topology Seminar
Products of Locally Psuedocompact Topological Groups, by Derrick Stover (Ohio University Mathematics)
| What |
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|---|---|
| When |
Oct 15, 2008 from 04:10 pm to 05:00 pm |
| Where | Morton 223 |
| Contact Name | Derrick Stover |
| Contact Email | stover@math.ohiou.edu |
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Abstract: An old theorem of Comfort and Ross to the effect that the product of any number of psuedocompact groups remains psuedocompact is generalized and a brief survey of some known results of locally psuedocompact groups is given. The product of any number of regularly closed subspaces of psuedocompact topological groups is proved to be psuedocompact. A corollary is obtained that the class of locally psuedocompact groups and locally compact groups behave similarly with respect to products. Additional known facts concerning products of functionally bounded sets that are connected with the previous results are surveyed.
(Based on a paper by F. Javier Trigos-Arrieta)
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