Pregled bibliografske jedinice broj: 614873
Towards the algebraic characterization of (coarse) shape path connectedness
Towards the algebraic characterization of (coarse) shape path connectedness // Topology and its applications, 160 (2013), 3; 538-545 doi:10.1016/j.topol.2013.01.002 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 614873 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Towards the algebraic characterization of (coarse)
shape path connectedness
Autori
Koceić-Bilan, Nikola
Izvornik
Topology and its applications (0166-8641) 160
(2013), 3;
538-545
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 ; shape group ; coarse shape group ; coarse shape path connectedness ; n-shape connectedness
Sažetak
One of the most interesting invariant in the coarse shape theory is the coarse shape path connectedness. We consider isomorphisms that coarse shape paths induce between coarse shape groups (and homotopy pro-groups, as well) at the different base points of topological space. We establish several interesting results for coarse shape path connected spaces such as the independence of n-shape connectedness from the base point. We also exhibit relationships between the (coarse) shape path connectedness and the triviality of low dimensional (coarse) shape groups and homotopy pro-groups.
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
Profili:
Nikola Koceić-Bilan
(autor)
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
