Pregled bibliografske jedinice broj: 665160
Covering maps over solenoids which are not covering homomorphisms
Covering maps over solenoids which are not covering homomorphisms // Fundamenta mathematicae, 221 (2013), 1; 69-82 (međunarodna recenzija, članak, znanstveni)
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Naslov
Covering maps over solenoids which are not covering homomorphisms
Autori
Eda, Katsuya ; Matijević, Vlasta
Izvornik
Fundamenta mathematicae (0016-2736) 221
(2013), 1;
69-82
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Solenoid; compact connected group; covering map; overlay map; covering homomorphism; infinite-sheeted
Sažetak
Let Y be a connected group and let f:X->Y be a covering map with the total space X being connected. The following question is considered: Is it possible to define a topological group structure on X making f a homomorphism of topological groups. The question is answered in the negative by constructing a connected infinite-sheeted covering map over an arbitrary solenoid which is not an overlay map and consequently not a covering homomorphism.
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
