Naslov
The Extension Dimension of Universal Spaces

Autori
Ivanšić, Ivan ; Rubin, Leonard R.

Izvornik
Glasnik Matematički (0017-095X) 38(58) (2003); 121-127

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

Ključne riječi
extension theory; extension dimension; dimension; stratifiable space; subspace theorem

Sažetak
Let \alpha be an infinite cardinal, T denote a class of CW- complexes, K the class of all compact Hausdorf spaces, M_\alpha the class of all metrizable spaces of weight \leq\alpha, and n\geq0. We prove that: (a) if U is a universal metrizable space of covering dimension \leq n and weight \leq\alpha, then ext-dim_(M_\alpha, T)=[S^n], and (b) if U\in K, K\in T, dim U\leq K, and U contains a copy of every compact metrizable space X with dim X\leq K, then ext-dim_(K, T)U=[K].

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA