Naslov
Factorization theorems for cohomological dimension

Autori
Mardešić, Sibe

Izvornik
Topology and its applications (0166-8641) 30 (1988), 3; 291-306

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

Ključne riječi
cohomology dimension ; covering dimension ; compact Hausdorff space ; inverse system ; inverse limit ; CE-map

Sažetak
The well-known factorization theorems for covering dimension dim and compact Hausdorff spaces are here established for the cohomological dimension dim using a new characterization of dim In particular, it is proved that every mapping f: X → Y from a compact Hausdorff space X with to a compact metric space Y admits a factorization f = hg, where g: X → Z, h: Z → Y and Z is a metric compactum with . These results are applied to the well-known open problem whether . It is shown that the problem has a positive answer for compact Hausdorff spaces X if and only if it has a positive answer for metric compacta X.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA