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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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Cohomological Dimension of Inverse Limits
by
Philip J. Schapiro
Langston University
Coauthors: Leonard R. Rubin (Langston University)

We prove the following theorem.

1.1 Theorem. Let n be a nonnegative integer, X = {Xi, fi, i+1, N} be an inverse sequence of metric spaces Xi, with limit X, G be a finitely generated abelian group, and suppose that dimG Xi is less than or equal to n for each i in N. Then dimG X is less than or equal to n.

The proof defines a metric space Z with covering dimension less than or equal to n and a proper map \pi from Z to X with suitable fibers.

Date received: February 5, 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 # caab-64.