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IV Iberoamerican Conference on Topology and its Applications (IV CITA)
April 18-21, 2001
University of Coimbra
Coimbra, Portugal

Organizers
Maria Manuel Clementino, Jorge Picado, Lurdes Sousa, Maria João Ferreira, Gonçalo Gutierres, Dirk Hofmann

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On countable extraresolvable spaces
by
S. Garcia-Ferreira
National University of Mexico
Coauthors: V. I. Malykhin

Our spaces are crowded. Following Malykhin, we say that a space is extraresolvable if there is a family { D\xi : \xi < \Delta(X) } of dense subsets of X such that D\xi \cap D\zeta is nowhere dense for every \xi < \zeta < \Delta(X), where \Delta(X) = min {|U| : \emptyset =/= U subset X  is  open }. We present some results about countable extraresolvable spaces.

Date received: February 27, 2001

Copyright © 2001 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 # cafw-39.