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## Bulletin of the Polish Academy of Sciences. Mathematics

2007 | 55 | 3 | 243-259
Tytuł artykułu

### Inverse Sequences and Absolute Co-Extensors

Autorzy
Treść / Zawartość
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EN
Abstrakty
EN
Suppose that K is a CW-complex, X is an inverse sequence of stratifiable spaces, and X = limX. Using the concept of semi-sequence, we provide a necessary and sufficient condition for X to be an absolute co-extensor for K in terms of the inverse sequence X and without recourse to any specific properties of its limit. To say that X is an absolute co-extensor for K is the same as saying that K is an absolute extensor for X, i.e., that each map f:A → K from a closed subset A of X extends to a map F:X → K. In case K is a polyhedron $|K|_{CW}$ (the set |K| with the weak topology CW), we determine a similar characterization that takes into account the simplicial structure of K.
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Kategorie tematyczne
Rocznik
Tom
Numer
Strony
243-259
Opis fizyczny
Daty
wydano
2007
Twórcy
autor
• Department of Mathematics, University of Zagreb, Unska 3, P.O. Box 148, 10001 Zagreb, Croatia
autor
• Department of Mathematics, University of Oklahoma, Norman, OK 73019, U.S.A.
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