Izvorni znanstveni članak

https://doi.org/10.3336/gm.44.2.15

Metrization of pro-morphism sets

Nikica Uglešić ; University of Zadar, Pavlinovićeva bb, 23000 Zadar, Croatia

Sažetak

Every pair of inverse systems X, Y in a category A, where Y is cofinite, admits a complete (ultra)metric structure on the set pro-A(X,Y). The corresponding hom-bifunctor is not, generally, an internal Hom. However, there exists a subcategory of pro-A, containing tow-A, for which the hom-bifunctor is an invariant Hom into the category of complete metric spaces. Application to the sets tow-HcANR(X,Y) yields several new interesting results concerning Borsuk's quasi-equivalence.

Ključne riječi

Pro-category; shape; quasi-equivalence; semi-stability; complete metric; compactum; FANR; ANR

Hrčak ID:

44059

URI

https://hrcak.srce.hr/44059

Datum izdavanja:

9.12.2009.

Posjeta: 963 *