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Pregled bibliografske jedinice broj: 321610

Časopis

Autori: Koceić Bilan, Nikola; Uglešić, Nikica
Naslov: The coarse shape
Izvornik: Glasnik matematički (0017-095X) 42 (2007), 1; 145-187
Vrsta rada: članak
Ključne riječi: topological space; compactum; polyhedron; ANR; category; homotopy; shape; S*-equivalence.
Sažetak:
Given a category C, a certain category pro*-C on inverse systems in C is constructed, such that the usual pro-category pro-C may be considered as a subcategory of pro*-C. By simulating the (abstract) shape category construction, Sh_(C, D), an (abstract) coarse shape category Sh*_(C, D) is obtained. An appropriate functor of the shape category to the coarse shape category exists. In the case of topological spaces, C=HTop and D=HPol or D=HANR, the corresponding realizing category for Sh* is pro*-HPol or pro*-HANR respectively. Concerning an operative characterization of a coarse shape isomorphism, a full analogue of the well known Morita lemma is proved, while in the case of inverse sequences, a useful sufficient condition is established. It is proved by examples that for C=Grp (groups) and C=HTop, the classification of inverse systems in pro*-C is strictly coarser than in pro-C. Therefore, the underlying coarse shape theory for topological spaces makes sense.
Projekt / tema: 037-0372791-2802, 177-0372791-0886
Izvorni jezik: ENG
Rad je indeksiran u
bazama podataka:
Scopus
SCI-EXP, SSCI i/ili A&HCI
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL cjelovitog teksta:
Google Scholar: The coarse shape
Upisao u CROSBI: Nikola Koceic Bilan (koceic@pmfst.hr), 12. Vel. 2008. u 11:52 sati



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