Naslov
Recent advances in inverse systems of spaces

Autori
Mardešić, Sibe

Izvornik
Rendiconti dell'Istituto di Matematica dell'Universita di Trieste (0049-4704) 25 (1993); 317-335

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

Ključne riječi
inverse system ; approximate inverse system ; inverse limit ; resolution ; approximate resolution ; dimension ; shape theory

Sažetak
The notion of inverse system is an important tool in defining and studying spaces, especially compact spaces. in particular, one tries to represent spaces as limits of inverse systems of polyhedra and thus reduce their study to the study of such systems. This paper surveys some recent developments in the area. In particular, gauged systems, resolutions and approximate systems are discussed. Gauged systems are inverse systems, where each member is endowed with a covering, which determines nearness. Resolutions can be viewed as inverse systems with particularly good properties, which makes the application to noncompact spaces possible. Approximate systems share all good properties with usual inverse systems, but are more flexible, because the functorial condition on the bonding mappings is replaced by the weaker requirement, that the mappings $p_{;aa^{;'};};p_{;a^{;'};a^{;''};};$ , $p_{;aa^{;''};};, a\leq a'\leq a^{;''};$ may differ by a properly controlled amount.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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