Pregled bibliografske jedinice broj: 439045
A note on finite-sheeted covering maps from 2-dimensional compact abelian groups
A note on finite-sheeted covering maps from 2-dimensional compact abelian groups // Topology and its applications, 157 (2010), 2746-2756 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 439045 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A note on finite-sheeted covering maps from 2-dimensional compact abelian groups
Autori
Matijević, Vlasta
Izvornik
Topology and its applications (0166-8641) 157
(2010);
2746-2756
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Covering map; 2-dimensional torus; Klein bottle; solenoid; 2-dimensional compact abelian group; weak solenoidal space
Sažetak
We consider finite-sheeted covering maps from 2-dimensional compact connected abelian groups to Klein bottle weak solenoidal spaces, metric continua which are not groups. We show that whenever a group covers a Klein bottle weak solenoidal space it covers groups as well, moreover it covers the product of two solenoids. The converse is not true, we give an example of group which covers groups with any finite number of sheets, but does not cover any Klein bottle weak solenoidal space.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
177-0372791-0886 - Grubi oblik i klasifikacija natkrivanja (Matijević, Vlasta, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Split
Profili:
Vlasta Matijević
(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
