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Pregled bibliografske jedinice broj: 91348

Relative embeddability into Lipscomb?s 0-dimensional universal space


Ivanšić, Ivan; Milutinović, Uroš
Relative embeddability into Lipscomb?s 0-dimensional universal space // Univ. of Ljubljana, Preprint series, 39 (2001), 757. (podatak o recenziji nije dostupan, članak, znanstveni)


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Naslov
Relative embeddability into Lipscomb?s 0-dimensional universal space

Autori
Ivanšić, Ivan ; Milutinović, Uroš

Izvornik
Univ. of Ljubljana, Preprint series (1318-4865) 39 (2001), 757;

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

Ključne riječi
covering dimension; generalized Sierpinski curve; universal space; Lipscomb's universal space; embedding

Sažetak
Let $\Sigma(\tau)$ be the generalized Sierpinski curve which is naturally identified with the Lipscomb's space $J(\tau)$. Then the set of irrational points of $\Sigma(\tau)$ is universal for 0-dimensional metric spaces of weight $\leq\tau$. We prove that any embedding of a compact subspace of a 0-dimensional metric space of dimension $\leq\tau$ into the set of irrational points of $\Sigma(\tau)$ can be extended to an embedding of the whole space.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037006

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Ivan Ivanšić (autor)

Avatar Url Uroš Milutinović (autor)

Citiraj ovu publikaciju

Ivanšić, Ivan; Milutinović, Uroš
Relative embeddability into Lipscomb?s 0-dimensional universal space // Univ. of Ljubljana, Preprint series, 39 (2001), 757. (podatak o recenziji nije dostupan, članak, znanstveni)
Ivanšić, I. & Milutinović, U. (2001) Relative embeddability into Lipscomb?s 0-dimensional universal space. Univ. of Ljubljana, Preprint series, 39 (757).
@article{article, year = {2001}, pages = {1--11}, keywords = {covering dimension, generalized Sierpinski curve, universal space, Lipscomb's universal space, embedding}, journal = {Univ. of Ljubljana, Preprint series}, volume = {39}, number = {757}, issn = {1318-4865}, title = {Relative embeddability into Lipscomb?s 0-dimensional universal space}, keyword = {covering dimension, generalized Sierpinski curve, universal space, Lipscomb's universal space, embedding} }

Uključenost u ostale bibliografske baze podataka:


  • Mathematical Reviews





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