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

Autori
Ivanšić, Ivan ; Milutinović, Uroš

Izvornik
Preprint series - University of Ljubljana Institute of Mathematics (1318-4865) 39 (2001), 757; 1-11

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