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Pregled bibliografske jedinice broj: 27737

Coherent and strong expansions of spaces coincide


Mardešić, Sibe
Coherent and strong expansions of spaces coincide // Fundamenta mathematicae, 158 (1998) (međunarodna recenzija, članak, znanstveni)


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Naslov
Coherent and strong expansions of spaces coincide

Autori
Mardešić, Sibe

Izvornik
Fundamenta mathematicae (0016-2736) 158 (1998);

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


Projekt / tema
037006 - 037006

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Sibe Mardešić (autor)

Citiraj ovu publikaciju

Mardešić, Sibe
Coherent and strong expansions of spaces coincide // Fundamenta mathematicae, 158 (1998) (međunarodna recenzija, članak, znanstveni)
Mardešić, S. (1998) Coherent and strong expansions of spaces coincide. Fundamenta mathematicae, 158.
@article{article, author = {Marde\v{s}i\'{c}, S.}, year = {1998}, pages = {69--80}, keywords = {coherent expansion, coherent homotopy, inverse system, strong expansion, strong shape}, journal = {Fundamenta mathematicae}, volume = {158}, issn = {0016-2736}, title = {Coherent and strong expansions of spaces coincide}, keyword = {coherent expansion, coherent homotopy, inverse system, strong expansion, strong shape} }

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:


  • Zentralblatt für Mathematik
  • Referativnij Žurnal
  • Mathematical Reviews





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