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## Inverse sequences and absolute co-extensors

Ivanšić, Ivan; Rubin, Lenny R.
Inverse sequences and absolute co-extensors // Bulletin of the Polish Academy of Sciences Mathematics, 55 (2007), 3; 243-259 (međunarodna recenzija, članak, znanstveni)

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Naslov
Inverse sequences and absolute co-extensors

Autori
Ivanšić, Ivan ; Rubin, Lenny R.

Izvornik
Bulletin of the Polish Academy of Sciences Mathematics (0239-7269) 55 (2007), 3; 243-259

Ključne riječi
stratifiable spaces; semi-sequence; absolute (co-)extensor

Sažetak
Suppose that K is a CW-complex, _X_ is an inverse sequence of stratifiable spaces, and X=lim(_X_). Using the concept of semi-sequence, we shall provide a necessary and sufficient condition for X to be an absolute co-extensor for K in terms of the inverse sequence _X_ and without recourse to any specific properties of its limit. To say that X is an absolute co-extensor for K is the same as saying that K is an absolute extensor for X, i.e., that each map f: A --> K from a closed subset A of X extends to a map F: X --> K. In case K is a polyhedron |K|_{;CW}; (the set |K| with the weak topology CW), then we will determine a similar characterization that takes into account the simplicial structure of K.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Ivan Ivanšić (autor)

#### Citiraj ovu publikaciju

Ivanšić, Ivan; Rubin, Lenny R.
Inverse sequences and absolute co-extensors // Bulletin of the Polish Academy of Sciences Mathematics, 55 (2007), 3; 243-259 (međunarodna recenzija, članak, znanstveni)
Ivanšić, I. & Rubin, L. (2007) Inverse sequences and absolute co-extensors. Bulletin of the Polish Academy of Sciences Mathematics, 55 (3), 243-259.
@article{article, year = {2007}, pages = {243-259}, keywords = {stratifiable spaces, semi-sequence, absolute (co-)extensor}, journal = {Bulletin of the Polish Academy of Sciences Mathematics}, volume = {55}, number = {3}, issn = {0239-7269}, title = {Inverse sequences and absolute co-extensors}, keyword = {stratifiable spaces, semi-sequence, absolute (co-)extensor} }

#### Časopis indeksira:

• Web of Science Core Collection (WoSCC)
• SCI-EXP, SSCI i/ili A&HCI

#### Uključenost u ostale bibliografske baze podataka:

• MathSciNet
• Zentrallblatt für Mathematik/Mathematical Abstracts