Pregled bibliografske jedinice broj: 645027
The Whitehead type theorems in coarse shape theory
The Whitehead type theorems in coarse shape theory // Homology homotopy and applications, 15 (2013), 2; 103-125 doi:10.4310/HHA.2013.v15.n2.a6 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 645027 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The Whitehead type theorems in coarse shape theory
Autori
Koceić-Bilan, Nikola ; Uglešić, Nikica
Izvornik
Homology homotopy and applications (1532-0073) 15
(2013), 2;
103-125
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
inverse system ; pro-category ; pro*-category ; expansion ; shape ; coarse shape ; homotopy pro-group ; m-equivalence
Sažetak
The analogues of Whitehead's theorem in coarse shape theory, i.e., in the pointed coarse pro- category pro*-HPol(0) and in the pointed coarse shape category Sh(0)*, are proved. In other words, if a pointed coarse shape morphism of finite shape dimensional spaces induces isomorphisms (epimorphism, in the top dimension) of the corresponding coarse k-dimensional homotopy pro- groups, then it is a pointed coarse shape isomorphism.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-177-0372791-0886 - Grubi oblik i klasifikacija natkrivanja (Matijević, Vlasta, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Split
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
