Limit Theorem for Semi-sequences in Extension Theory

• Autores: Ivan Ivansic, Leonard L. Rubin
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 3, 2005, págs. 787-808
• Idioma: inglés
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• Resumen

  • Given an inverse sequence X = (Xi,pii+1) of topological spaces along with subspaces Ti of Xi and an infinite subset N* of the set of positive integers N, we define the concept of a semi-sequence T=(Ti,N*) and its semi-limit T=semi-lim T which is a subset of X=lim X. A notion of stability of T in X is defined along with extendability of X with respect to a given CW-complex K and T. We show that if the terms Xi of the inverse sequence are stratifiable, Ti is closed in Xi, and stability and extendability apply, then K is an absolute extensor for T. All previous extension theoretic limit theorems about inverse sequences are corollaries to this result.