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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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Constructions related to a problem of Efimov
by
Mirna Dzamonja
University of East Anglia, UK
Coauthors: Grzegorz Plebanek

We consider the problem if every infinite Hausdorff compact space must have a convergent sequence of support a nonseparable Radon measure. This is related to a problem of Efimov which asked the same with containing a copy of beta omega in place of supporting a nonseparable Radon measure. The former is a stronger property. We show that a counterexample exist under CH. We also show a related construction done under diamond of a compact space with no convergent sequences in which all Radon measures are uniformly regular. The existence of such a space answeres a question of Mercourakis. The problem if there are Efimov spaces under PFA is still open.

Date received: March 29, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqm-54.