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The 1996 Joint Spring Topology Conference and Southeast Dynamical Systems Conference
March 7-9, 1996
Ball State University
Muncie, IN, USA

Organizers
John Emert, Kerry Jones, Roger Nelson

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Powers of subspaces of the Sorgenfrey Line
by
Justin Tatch Moore
Miami University

A rather natural question to ask is whether or not Sn is homeomorphic to Sm for some distinct n, m in N. The answer to this question was shown to be no in ZFC (D. Burke, D. Lutzer) but until recently it was not even known whether there exists an uncountable subspace X of S with X2 homeomorphic to X3. Along with discussing other interesting properties of S, I will prove in ZFC that there are no uncountable subspaces X of S such that an open neighborhood in Xn+1 embeds in Sn.

Date received: January 31, 1996

Copyright © 1996 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 # caaa-39.