Naslov
A Universal separable metric space based on the triangular Sierpinski curve

Autori
Ivanšić, Ivan ; Milutinović, Uroš

Izvornik
Topology and its Applications (0166-8641) 120 (2002); 237-271

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

Ključne riječi
covering dimension; Sierpinski curve; universal space; Lipscomb's universal space; embedding; decompositions of toplogical spaces

Sažetak
Let \Sigma(3) be the triangular Sierpinski curve. Call the vertices of the triangles obtained during the construction of \Sigma(3) (with the exception of the first triangle) the rational points of \Sigma (3), and all other points the irrational points of \Sigma(3). Using results of Lipscomb and techniques and results of Milutinovi?, we prove that L_n(3)={x\in\Sigma(3)^(n+1): at least one coordinate of x is irrational} is a universal space for all metrizable spaces of dimension \leq n.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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