Naslov
A resolution for the product of a compactum with a polyhedron

Autori
Mardešić, Sibe

Izvornik
Topology and its applications (0166-8641) 133 (2003), 1; 37-63

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

Ključne riječi
inverse limit ; resolution ; direct limit ; polyhedron ; shape

Sažetak
In shape theory one associates with compact Hausdorff space X limits p:X->_X_ of inverse systems of compact polyhedra (or ANRs). However, in the noncompact case, polyhedral limits have to be replaced by polyhedral resolutions. In the present paper, with the limit p:X->_X_ of an arbitrary inverse system of compact Hausdorf spaces and with an arbitrary simplicial complex K one associates a resolution q:XxP->_Y_, where P=|K| is the feometric realization of K, this resolution extends the limit px1:XxP->_X_xP and it consists of paracompact spaces.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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