Naslov
Extension shape theory
(Extension Shape Theory)

Autori
Ivanšić, Ivan ; Rubin, Leonard R. ; Schapiro, Philip J.

Izvornik
Kyungpook mathematical journal (1225-6951) 40 (2000), 1; 157-172

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

Ključne riječi
extension theory ; dimension theory ; shape theory ; fundamental dimension ; movability

Sažetak
We develop a theory of P-shape for the class of compact Hausdorff spaces and for certain CW-complexes P. The complexes P which are allowed are those which, for each given weight α , admit a P- invertible map of a compact Hausdorff space of weight ≤ α and of extension dimension ≤ P onto the Tychonoff cube I α . In particular it will be seen that classical shape theory comes from the case P = {;pt};. Our concept is based on extension theory, and hence for any extension equivalent CW-complex P’, P-shape and P’-shape will be identical. Indeed, if the extension theories of P and P’ are related so that P ≤ P’, then we shall obtain a relation between their shape functors, one factoring through the other.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA