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Pregled bibliografske jedinice broj: 392996

Časopis

Autori: Koceić Bilan, Nikola
Naslov: Bimorphisms of a pro*-category
Izvornik: Glasnik matemati� ki (0017-095X) 44 (64) (2009); 155-166
Vrsta rada: članak
Ključne riječi: category; monomorphism; epimorphism; bimorphism; balanced category; pro-categories; topological space; polyhedron
Sažetak:
Every morphism of an abstract coarse shape category Sh_{;(C, D)};^{;∗ }; can be viewed as a morphism of the category pro^{;∗ };-D (defined on the class of inverse systems in D), where D is dense in C. Thus, the study of coarse shape isomorphisms reduces to the study of isomorphisms in the appropriate category pro^{;∗ };-D. In this paper bimorphisms in a category pro^{;∗ };-D are considered, for various categories D. We discuss in which cases pro^{;∗ };-D is a balanced category (category in which every bimorphism is an isomorphism). We are interested in the question whether the fact that one of the categories: D, pro-D and pro^{;∗ };-D is balanced implies that the other two categories are balanced. It is proved that if pro^{;∗ };-D is balanced then D is balanced. Further, if D admits sums and products and pro^{;∗ };-D is balanced then pro-D is balanced. In particular, pro^{;∗ };-C is balanced for C=Set (the category of sets and functions) and C=Grp (the category of groups and homomorphisms).
Projekt / tema: 177-0372791-0886
Izvorni jezik: ENG
Rad je indeksiran u
bazama podataka:
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL cjelovitog teksta:
Časopis izlazi u samo elektroničkom izdanju: NE
Google Scholar: Bimorphisms of a pro*-category
Upisao u CROSBI: koceic@pmfst.hr (koceic@pmfst.hr), 22. Svi. 2009. u 20:39 sati



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