Naslov
Limit Theorem for Semi-sequences in Extension Theory

Autori
Ivanšić, Ivan ; Rubin, Leonard R.

Izvornik
Houston journal of mathematics (0362-1588) 31 (2005); 787-807

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
semi-sequence; stability; absolute extensor

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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