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SumTopo 2001, Sixteenth Summer Conference on Topology and its Applications
July 18-21, 2001
City College of CUNY
New York, NY, USA

Organizers
Ralph Kopperman (City College, CUNY), Susan Andima (CW Post College, LIU), Gerald Itzkowitz (Queens College, CUNY), Prabudh Misra (College of Staten Island, CUNY), Shelly Rothman (CW Post College, LIU), Aaron Todd (Baruch College, CUNY)

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A theorem on cardinal numbers associated with L\infty Abelian groups
by
Salvador Hernandez
Universitat Jaume I

The topology of a topological group is called an L\infty-topology if it can be represented as the intersection of a decreasing sequence of locally compact Hausdorff group topologies on G. If L1 < L2 are two distinct L\infty-topologies on an Abelian group G, it is shown that the quotient of the corresponding character groups has cardinality >= 2c. This proves a conjecture announced by J. B. Reade in his paper [Proc. Camb. Phil. Soc. 61 (1965), 69-74].

Date received: May 25, 2001

Copyright © 2001 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 # cagw-85.