Naslov
P-like continua and approximate inverse limits

Autori
Mardešić, Sibe ; Segal, Jack

Izvornik
Mathematica japonica (0025-5513) 33 (1988); 895-908

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

Ključne riječi
nerves of open coverings ; approximate inverse systems ; compact polyhedra without isolated points ; P-like (compact Hausdorff) space

Sažetak
The authors investigate approximate inverse systems and their limits [see also the preceding review] obtaining the following result: If P is a class of compact polyhedra without isolated points then each P-like (compact Hausdorff) space is the limit of an approximate inverse system of polyhedra from the class P with surjective bonding maps. Such a theorem is not true for usual inverse systems in the case of non-metric P-like spaces, as it was shown by the first author and B. A. Pasynkov in a series of papers in 1958-1962. Recall that a compact Hausdorff space X is called P-like if for every open covering U of X there exists P in P and a surjective map f: X→P such that {;f−1(p): p∈P}; refines U. In the metric case the above mentioned expansion theorem is not true without the assumption on the absence of isolated points in polyhedra from P.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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