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The Pointed Version of Lipscomb's Embedding Theorem (CROSBI ID 117078)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Ivanšić, Ivan ; Milutinović, Uroš The Pointed Version of Lipscomb's Embedding Theorem // Houston journal of mathematics, 31 (2005), 173-192-x

Podaci o odgovornosti

Ivanšić, Ivan ; Milutinović, Uroš

engleski

The Pointed Version of Lipscomb's Embedding Theorem

For a given weight of a spaces one identifies the generalized Sierpinski curve of this weight with the Lipscomb's 1- dimensional space and constructs a universal space for n- dimensional metric spaces of that weight. This universal space is a subset of the (n+1)-fold product of the generalized Sierpinski curve and consists of all points having at least one irrational coordinate. Here is proved that this embedding may be chosen in such a way that its value at a certain point (the base point) is given in advance. In fact, a stronger result is proved, namely, that the values of the embedding may be given in advance at any finite set of points.

generalized Sierpinski's curve; Lipscomb's space; universal space

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Podaci o izdanju

31

2005.

173-192-x

objavljeno

0362-1588

Povezanost rada

Matematika

Indeksiranost