Pregled bibliografske jedinice broj: 23629
Equivalence of shape fibrations and approximate fibrations
Equivalence of shape fibrations and approximate fibrations // Topology and its applications, 76 (1997), 1; 9-26 doi:10.1016/S0166-8641(96)00097-1 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 23629 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Equivalence of shape fibrations and approximate fibrations
Autori
Čerin, Zvonko
Izvornik
Topology and its applications (0166-8641) 76
(1997), 1;
9-26
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Fibration; Weak fibration; Shape fibration; Weak shape fibration; Close; Approximate fibration; Relation; Numerable covering; Homotopy; Approximate polyhedron; Bundle
Sažetak
In this paper we give a description of approximate fibrations of arbitrary topological spaces using relations. Our method is to use relations with smaller and smaller images of points. This does not require any extensive knowledge of relations. The main result is that this improved version of the original concept of an approximate fibration of Coram and Duvall is equivalent to the notion of a shape fibration of Mardešić. Hence, our approximate fibrations could be regarded as an intrinsic definition of shape fibrations.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037007
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Zvonko Čerin
(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::
- Math. Rev.
