Forthcoming Seminars › Seminar Series

Analytic Topology in Mathematics and Computer Science

Wed, 15/10/2008
11:30 		George Wellen (Oxford) Analytic Topology in Mathematics and Computer Science Add to calendar
Congruent Numbers
Wed, 12/11/2008
16:00 		Ben Chad (Oxford) Analytic Topology in Mathematics and Computer Science Add to calendar L3
'Two-point sets and the Axiom of Choice'.
'A two-point set is a subset of the plane which meets every line in exactly two points. The existence of two-point sets was shown by Mazurkiewicz in 1914, and the main open problem concerning these objects is to determine if there exist Borel two-point sets. If this question has a positive answer, then we most likely need to be able to construct a two-point set without making use of a well-ordering of the real line, as is currently the usual technique. We discuss recent work by Robin Knight, Rolf Suabedissen and the speaker, and (independently) by Arnold Miller, which show that it is consistent with ZF that the real line cannot be well-ordered and also that two-point sets exist.'
Wed, 19/11/2008
16:00 		James Vicary (Comlab) Analytic Topology in Mathematics and Computer Science Add to calendar L3
To Be Announced

For any corrections/updates to these listings, please contact seminars [-at-] maths [dot] ox [dot] ac [dot] uk.

Syndicate content