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Inverse Sequences and Absolute Co-Extensors

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Ivanšić I., Rubin L.

Bulletin of the Polish Academy of Sciences. Mathematics

2007

tom 55

nr 3

243-259

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.

Ograniczanie wyników

1 Bulletin of the Polish Academy of Sciences. Mathematics

1 Ivanšić I.

1 Rubin L.

1 2007

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Inverse Sequences and Absolute Co-Extensors