Inverse Sequences and Absolute Co-Extensors

• Autorzy: Ivan Ivanšić , Leonard R. Rubin
• Języki publikacji: 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.

Kategorie tematyczne

• 54B35: Spectra
• 54C55: Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties)
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 3
• Strony: 243-259

Daty

wydano

2007

Twórcy

autor

Ivan Ivanšić

• Department of Mathematics, University of Zagreb, Unska 3, P.O. Box 148, 10001 Zagreb, Croatia

autor

Leonard R. Rubin

• Department of Mathematics, University of Oklahoma, Norman, OK 73019, U.S.A.

Identyfikatory

DOI

10.4064/ba55-3-6