Atlas home || Conferences | Abstracts | about Atlas

Spring Topology and Dynamics Conference 2006
March 23-25, 2006
University of North Carolina at Greensboro
Greensboro, NC, USA

Organizers
Gregory Bell, Alexander Chigogidze, Paul Duvall, Jan Rychtar, Jerry Vaughan

View Abstracts
Conference Homepage

Metric Baumgartner theorems and Universality
by
Stefan Geschke
Free University of Berlin
Coauthors: Menachem Kojman

We show that it is consistent that whenever X is either a separable Banach space or Uryson's universal separable metric space, then X has a nowhere meager subset of size ℵ1 and any two such sets are almost isometric. It follows that the failure of CH is consistent with the existence of a universal separable metric space of size ℵ1 with respect to almost isometric embeddings.

Date received: February 24, 2006

Copyright © 2006 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 # caqs-79.