Cohomological Dimension and Approximate Limits
by
Leonard R. Rubin
University of Oklahoma

Approximate (inverse) systems of compacta have been useful in the study of covering dimension, dim, and cohomological dimension over an abelian group G, dim_G. Such systems are more general than (classical) inverse systems. They have limits and structurally have similar properties. In particular, the limit of an approximate system of compacta satisfies the important property of being an approximate resolution. We prove that if G is an abelian group, a compactum X is the limit of an approximate system of compacta X_a, n in N, and dim_G X_a is less than or equal to n for each a, then dim_G X is less than or equal to n.

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-45.