Naslov
On approximate inverse systems and resolutions

Autori
Mardešić, Sibe

Izvornik
Fundamenta mathematicae (0016-2736) 142 (1993), 3; 241-255

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

Ključne riječi
inverse system, approximate inverse system, inverse limit, resolution, approximate resolution, dimension

Sažetak
Recently, L. R. Rubin, T. Watanabe and the author have introduced approximate inverse systems and approximate resolutions, a new tool designed to study topological spaces. These systems differ from the usual inverse systems in that the bonding maps paa′ are not subject to the commutativity requirement p_{;aa' p_{;a'a''}; = p_{;aa''};, a ≤ a' ≤ a''. Instead, the mappings paa′pa′a′′ and paa′′ are allowed to differ in a way controlled by coverings Ua, called meshes, which are associated with the members Xa of the system. The purpose of this paper is to consider a more general and much simpler notion of approximate system and approximate resolution, which does not require meshes. The main result is a construction which associates with any approximate resolution in the new sense an approximate resolution in the previous sense in such a way that previously obtained results remain valid in the present more general setting.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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