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Pregled bibliografske jedinice broj: 440660

Extension dimension of a wide class of spaces

Ivanšić, Ivan; Rubin, Leonard R.
Extension dimension of a wide class of spaces // Journal of the Mathematical Society of Japan, 61 (2009), 4; 1097-1110 doi:10.2969/jmsj/06141097 (međunarodna recenzija, članak, znanstveni)

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Naslov
Extension dimension of a wide class of spaces

Autori
Ivanšić, Ivan ; Rubin, Leonard R.

Izvornik
Journal of the Mathematical Society of Japan (0025-5645) 61 (2009), 4; 1097-1110

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

Ključne riječi
absolute co-extensors; absolute extensors; anti-basis; cardinality of a complex; CW-complex; dd-space; ddP-space; extension dimension; extension theory; extension type; polyhedron; pseudo-compact; weak extension dimension; weight.

Sažetak
We prove the existence of extension dimension for a much extended class of spaces. First we obtain several theorems which state conditions on a polyhedron or a CW-complex <i>K</i> and a space <i>X</i> in order that <i>X</i> be an absolute co-extensor for <i>K</i>. Then we prove the existence of and describe a wedge representative of extension dimension for spaces in a wide class relative to polyhedra or CW-complexes. We also obtain a result on the existence of a "countable" representative of the extension dimension of a Hausdorff compactum.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
037-0372791-2802 - Teorija dimenzije i oblika (Mardešić, Sibe, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Ivan Ivanšić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Ivanšić, Ivan; Rubin, Leonard R.
Extension dimension of a wide class of spaces // Journal of the Mathematical Society of Japan, 61 (2009), 4; 1097-1110 doi:10.2969/jmsj/06141097 (međunarodna recenzija, članak, znanstveni)
Ivanšić, I. & Rubin, L. (2009) Extension dimension of a wide class of spaces. Journal of the Mathematical Society of Japan, 61 (4), 1097-1110 doi:10.2969/jmsj/06141097.
@article{article, author = {Ivan\v{s}i\'{c}, Ivan and Rubin, Leonard R.}, year = {2009}, pages = {1097-1110}, DOI = {10.2969/jmsj/06141097}, keywords = {absolute co-extensors, absolute extensors, anti-basis, cardinality of a complex, CW-complex, dd-space, ddP-space, extension dimension, extension theory, extension type, polyhedron, pseudo-compact, weak extension dimension, weight.}, journal = {Journal of the Mathematical Society of Japan}, doi = {10.2969/jmsj/06141097}, volume = {61}, number = {4}, issn = {0025-5645}, title = {Extension dimension of a wide class of spaces}, keyword = {absolute co-extensors, absolute extensors, anti-basis, cardinality of a complex, CW-complex, dd-space, ddP-space, extension dimension, extension theory, extension type, polyhedron, pseudo-compact, weak extension dimension, weight.} }
@article{article, author = {Ivan\v{s}i\'{c}, Ivan and Rubin, Leonard R.}, year = {2009}, pages = {1097-1110}, DOI = {10.2969/jmsj/06141097}, keywords = {absolute co-extensors, absolute extensors, anti-basis, cardinality of a complex, CW-complex, dd-space, ddP-space, extension dimension, extension theory, extension type, polyhedron, pseudo-compact, weak extension dimension, weight.}, journal = {Journal of the Mathematical Society of Japan}, doi = {10.2969/jmsj/06141097}, volume = {61}, number = {4}, issn = {0025-5645}, title = {Extension dimension of a wide class of spaces}, keyword = {absolute co-extensors, absolute extensors, anti-basis, cardinality of a complex, CW-complex, dd-space, ddP-space, extension dimension, extension theory, extension type, polyhedron, pseudo-compact, weak extension dimension, weight.} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • 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::


  • Mathematical Reviews
  • Zentralblatt fur Mathematik

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