Naslov
A Complete Metric for Hyperladders

Autori
Uglešić, Nikica

Izvornik
International Journal of Contemporary Mathematical Sciences (1312-7586) Vol. 3 (2008), No. 35; 1701-1724

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

Ključne riječi
pro-category; shape; weak shape; S-equivalence; quasi-equivalence; complete metric; compactum; polyhedron.

Sažetak
For each pair of inverse systems X, Y in a category A, over the same admissible index set, there exists a complete (ultra)metric structure on the morphism set pro_{; ; ∗ }; ; ^{; ; ∼ }; ; -A(X, Y). This yields a pair of new equivalence relations on the object class of pro_{; ; ∗ }; ; ^{; ; ∼ }; ; -A that are strictly coarser than the isomorphism classification. In the case of a category pair (C, D), where D⊆ C is dense and full, these induce classifications of C-objects which are strictly coarser than the weak shape type. As an application to compact metrizable spaces, it is proved that Borsuk's quasi-equivalence (quasi-affinity) is strictly finer than the new "weak" equivalence ("weak" affinity)

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA