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Sequential spaces from tree partitioning
by
Alan Dow
UNC Charlotte
P. Simon introduced a novel idea of partitioning a maximal almost disjoint family of subsets of N in order to construct a pair of compact Frechet spaces whose product was not Frechet. We discuss how this idea of partitioning mad families seems to be a common element in the construction of other examples of compact Frechet-like spaces and raise the prospect of a more general investigation.
Date received: June 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 Mathematical Conference Abstracts. Document # cajv-63.