Naslov
A note on approximate systems of metric compacta

Autori
Mardešić, Sibe ; Rubin, L. ; Uglešić, Nikica

Izvornik
Topology and its applications (0166-8641) 59 (1994), 2; 189-194

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

Ključne riječi
Inverse system ; Approximate inverse system ; Inverse limit

Sažetak
Approximate inverse systems and their limits were first defined for systems of metric compacta. Then the notion was extended to systems of arbitrary spaces. In both cases the usual commutativity requirement paa′pa′a″ = paa″, a⩽a′⩽a″, on the bonding mappings was replaced by a weaker condition, which allows the mappings paa′pa′a″ and paa″ to differ, though in a controlled way. In the first case the difference is measured by numbers εa > 0, while in the second case it is measured by normal coverings a of Xa. In the present paper one considers only systems of metric compacta and compares the two definitions in this case. Surprisingly, they are not equivalent and the first one can actually depend on the choice of the metrics.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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