Some convergence properties
by
Gary Gruenhage
Auburn University
Coauthors: Paul Szeptycki

A collection P of subsets of a space X is called a \pi-net at x in X if every neighborhood of x contains some member of P. We discuss various convergence properties that are defined in terms of \pi-nets consisting of finite sets. Relations to topological games, topological groups, and convergence in product spaces are discussed. Several open questions are stated; in a number of cases, we have consistent answers but no ZFC solutions are known.

Date received: March 5, 2003

Copyright © 2003 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 # cakf-04.