Pregled bibliografske jedinice broj: 61533
Coherent homotopy and localization
Coherent homotopy and localization // Topology and its applications, 94 (1999), 1-3; 253-274 doi:10.1016/S0166-8641(98)00034-0 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 61533 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Coherent homotopy and localization
Autori
Mardešić, Sibe
Izvornik
Topology and its applications (0166-8641) 94
(1999), 1-3;
253-274
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
procategory ; level homotopy equivalence ; localization ; coherent homotopy ; strong shape
Sažetak
The purpose of this paper is to give a direct and relatively simple proof of the fact that the coherent homotopy category CH(Top), introduced in 1983 by Yu.T. Lisitsa and S. Marde\v si\'c, is isomorphic to the category Ho(pro-Top), obtained by localizing the category pro-Top at level homotopy equivalences. This result implies that the strong shape category SSh(Top), introduced by these authors is isomorphic to the strong shape categories defined by F.W. Cathey and J. Segal and by B. G\"{;u};nther.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037006
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Sibe Mardešić
(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::
- Zentrallblatt für Matematik
- Mathematical Reviews