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The 12th Summer Conference on General Topology and its Applications
August 12-16, 1997
Nipissing University
North Bay, ON, Canada

Organizers
Ted Chase, Boguslaw Schreyer, Jodi Sutherland, Murat Tuncali, Stephen Watson

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An example related to products of Lindelöf spaces
by
Oleg Okunev
Universidad Nacional Autónoma de México

For every n <= \omega there is a family C = { Xi : i < n } of Tychonoff spaces such that

  1. For each 0 < i < n, Xi is second-countable;

  2. The product \prodC has the extent equal to continuum;

  3. For every B subset C, if B =/= C, then the product (\prodB)\omega is Lindelöf.
Taking the function spaces with the topology of pointwise convergence yields families of spaces with similar properties with respect to countable tightness instead of the Lindelöf property.

Date received: June 27, 1997

Copyright © 1997 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 # caao-37.