Pretražite po imenu i prezimenu autora, mentora, urednika, prevoditelja

Napredna pretraga

Pregled bibliografske jedinice broj: 401366

The standard resolution of the product of a compactum and a polyhedron consists of ANEs for metric spaces


Mardešić, Sibe
The standard resolution of the product of a compactum and a polyhedron consists of ANEs for metric spaces // Houston journal of mathematics, 36 (2010), 887-904 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 401366 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
The standard resolution of the product of a compactum and a polyhedron consists of ANEs for metric spaces

Autori
Mardešić, Sibe

Izvornik
Houston journal of mathematics (0362-1588) 36 (2010); 887-904

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Inverse system; inverse limit; resolution; direct limit; Cartesian product; absolute neighborhood extensor (ANE); stratifiable space; shape.

Sažetak
In order to study (strong) shape properties of the Cartesian product X x P of a compact Hausdorff space X and a (non- compact) polyhedron P, the author has introduced in 2003 a resolution q: X x P --> Y, where Y=(Y_a, q_{; ; ; aa'}; ; ; , M) is an inverse system consisting of paracompact spaces Y_a, having the homotopy type of polyhedra. In the present paper, it is proved that the spaces Y_a are stratifiable k-spaces, which are absolute neighborhood extensors for metric spaces. This makes it possible to use the homotopy extension property, for pairs of metric spaces (X, A), A closed in X, and maps F: (A x I) U (X x 0) - -> Y_a, a result needed in various arguments concerning the shape of products X x P.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372791-2802 - Teorija dimenzije i oblika (Sibe Mardešić, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Sibe Mardešić (autor)

Citiraj ovu publikaciju

Mardešić, Sibe
The standard resolution of the product of a compactum and a polyhedron consists of ANEs for metric spaces // Houston journal of mathematics, 36 (2010), 887-904 (međunarodna recenzija, članak, znanstveni)
Mardešić, S. (2010) The standard resolution of the product of a compactum and a polyhedron consists of ANEs for metric spaces. Houston journal of mathematics, 36, 887-904.
@article{article, author = {Marde\v{s}i\'{c}, S.}, year = {2010}, pages = {887-904}, keywords = {Inverse system, inverse limit, resolution, direct limit, Cartesian product, absolute neighborhood extensor (ANE), stratifiable space, shape.}, journal = {Houston journal of mathematics}, volume = {36}, issn = {0362-1588}, title = {The standard resolution of the product of a compactum and a polyhedron consists of ANEs for metric spaces}, keyword = {Inverse system, inverse limit, resolution, direct limit, Cartesian product, absolute neighborhood extensor (ANE), stratifiable space, 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:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts