Atlas home || Conferences | Abstracts | about Atlas

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

View Abstracts
Conference Homepage

On the Cech number of Cp(X)
by
Angel Tamariz-Mascarúa
Universidad Nacional Autónoma de México
Coauthors: Oleg Okunev

It is well known that the space Cp(X) is Cech-complete if and only if X is countable and discrete, and it is easy to prove that Cp(X, [0, 1]) is Cech complete if and only if X is discrete. It appears natural to ask: given a space X, how many open sets in RX (or [0, 1]X) are necessary to intersect to obtain Cp(X) (respectively, Cp(X, [0, 1])? We discuss some results and open problems related to this question.

Date received: February 28, 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-51.