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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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Representing set inclusion by embeddability (among the subspaces of the real line)
by
A.E. McCluskey
University College Galway, Ireland

The study of the possible ordertypes of families of subspaces of the real continuum R ordered by homeomorphic embeddability, which was pioneered by Banach, Kuratowski and Sierpin'ski, still appears far from completion. As a contribution to it, we establish that the powerset of R ordered by set-inclusion has such an ordertype.

Date received: July 11, 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-97.