Inverse limits with upper semi-continuous bonding functions
by
W. T. Ingram
284 Windmill Mountain Road, Spring Branch, TX 78070
Coauthors: William S. Mahavier

Suppose (D, \preceq) is a partially ordered set and X_a is a compact Hausdorff space for each a in D. Moreover, suppose that f_a b is an upper semi-continuous function from X_b into 2^X_a for each a and b in D such that a\preceq b. The inverse limit of the system {X_a, f_a b, D} is the subset of ∏_{a ∈ D}X_a consisting of all points such that x_a ∈ f_a b(x_b) for each a and b in D where a\preceq b. We will discuss this type of inverse limit, give some examples, and discuss the contents of a book that we are close to completing that includes material on these general types of inverse limits.

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Date received: February 12, 2009