Naslov
Čech system does not induce approximate systems
(Cech system does not induce approximate systems)

Autori
Matijević, Vlasta

Izvornik
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti (1845-4100) 21 (2017), 532; 169-177

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

Ključne riječi
Čech system ; inverse system ; approximate system ; polyhedron ; nerve of a covering ; arc-like space ; chainable space
(Cech system ; inverse system ; approximate system ; polyhedron ; nerve of a covering ; arc-like space ; chainable space)

Sažetak
With every topological space is associated its Čech system, which is an inverse system in the homotopy category HPol. We consider the following question posed by S. Mardešić: For a given Čech system C(X) of a a space X, is it possible to select a member in each bonding map of C(X) in such a way that the obtained system is an approximate system? We answer the question in the negative by proving that for each Hausdorff arc-like space any such system is not an approximate system.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
Nakladnička cjelina: Rad Hrvatske akademije
znanosti i umjetnosti (1991-)

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