engleski

Limit Theorem for Semi-sequences in Extension Theory

Given an inverse sequence of topological spaces along with subspaces for an infinite number of indices, we define the concept of a semi-sequence and its limit T. A notion of stability of T is defined along with its extendability with respect to the polyhedron P of a given simplicial complex K. It is shown that if the terms of the inverse sequence are stratifiable, chosen subsets closed in their terms, and stability and extendability apply, then P is an absolute extensor for T. All previous extension theoretic limit theorems about inverse sequences are corollaries to this result.

semi-sequence; stability; absolute extensor

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