Naslov
Mapping approximate inverse systems of compacta

Autori
Mardešić, Sibe ; Segal, Jack

Izvornik
Fundamenta mathematicae (0016-2736) 134 (1990), 1; 73-91

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

Ključne riječi
approximate mappings of approximate inverse systems ; compact ANR’s

Sažetak
T. Watanabe has extensively studied approximate mappings of inverse systems of spaces ⌊: X→Y. [Tsukuba J. Math. 11, 17-59 (1987 ; Zbl 0646.55006)]. He showed if p:X→X and q:Y→Y are ANR-resolutions of topologically complete spaces X, Y, then ⌊:X→Y induces a mapping f:X→Y and conversely, every mapping f:X→Y is obtainable in this way. We show that the basic results of Watanabe’s theory are valid also for approximate mappings of approximate inverse systems, X, Y of compact ANR’s and compact Hausdorff spaces X=limX, Y=limY. Approximate systems, newly introduced by S. Mardešić and L. R. Rubin [Pac. J. Math. 138, No.1, 129-144 (1989 ; Zbl 0631.54006)] have bonding maps paa′, a≤a′, where in general pa1a2pa2a3 differs from pa1a3, but in a controlled way.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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