Pregled bibliografske jedinice broj: 27737
Coherent and strong expansions of spaces coincide
Coherent and strong expansions of spaces coincide // Fundamenta mathematicae, 158 (1998), 1; 69-80 doi:10.4064/fm-158-1-69-80 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 27737 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Coherent and strong expansions of spaces coincide
Autori
Mardešić, Sibe
Izvornik
Fundamenta mathematicae (0016-2736) 158
(1998), 1;
69-80
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
coherent expansion ; coherent homotopy ; inverse system ; strong expansion ; strong shape
Sažetak
In the existing literature there are several constructions of the strong shape category of topological spaces. In the one due to Yu. Lisica and S.Mardešić an essential role is played by coherent polyhedral (ANR) expansion of spaces. Such expansions always exist, because every space admits a polyhedral resolution, resolutions are strong expansions and strong expansions are always coherent. The purpose of this paper is to prove that conversely, every coherent polyhedral (ANR) expansion is a strong expansion. This result is obtained by showing that a mapping of a space into a system, which is coherently dominated by a strong expansion, is itself a strong expansion.
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::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
