Pregled bibliografske jedinice broj: 664628
Ultrametrization of pro*-morphism sets
Ultrametrization of pro*-morphism sets // Mathematical communications, 18 (2013), 1; 19-47 (međunarodna recenzija, članak, znanstveni)
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Naslov
Ultrametrization of pro*-morphism sets
Autori
Uglešić, Nikica
Izvornik
Mathematical communications (1331-0623) 18
(2013), 1;
19-47
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
pro-category; pro*-category; complete ultrametric; shape; coarse shape; weak shape; quasi-equivalence; semi-stability; compactum; polyhedron; ANR
Sažetak
For every pair of inverse systems X, Y in a category A, where Y is cofinite, there exists a complete ultrametric structure on the set pro*-A(X, Y). The corresponding hom-bifunctor is the internal and invariant Hom of a subcategory, containing tow*-A, in the category of complete metric spaces. Several applications to the shape (ordinary, coarse and weak) re considered.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus