[Turkmath:7132] Bogazici Matematik Seminerleri 2 Carsamba - ilan ekte

[ferit.ozturk at boun.edu.tr]

Konusmalar Ýngilizce yapýlmaktadýr.
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BOGAZICI MATHEMATICS COLLOQUIUM

Regular idempotents in beta G

Yevhen Zelenyuk
University of the Witwatersrand, Johannesburg


Date	  : Wednesday, July 7, 2010
Time	  : 14:00
Place     : TB 250, Boðaziçi Üniversitesi


Abstract: Every idempotent ultrafilter p on a group G determines a Hausdorff
left translation invariant maximal topology on G in which p converges to the
identity. We say that p is regular if this topology is regular and p is
uniform. We show that for every infinite group G, there exists a regular
idempotent ultrafilter on G. As a consequence we obtain that for every infinite
cardinal k, there exists a homogeneous regular maximal space of dispersion
character k, which is the answer to an old difficult question. Another
consequence tells us that the topology of the real line can be refined to a
translation invariant regular maximal topology of dispersion character
continuum.


Tea and coffee will be served at 15:00
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