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  • A universal separable metric space based on the triangular Sierpiński curve
    Ivanšić, Ivan ; Milutinović, Uroš
    Let ▫$\Sigma(3)$▫ be the triangular Scierpiński 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 [Trans. Amer. Math. Soc. 211 (1975) 143-160] and techniques and results of Milutinović [Ph.D. thesis, 1993], [Glas. Mat. Ser. III 27 (47)(1992) 343-364], we prove that ▫$L_n(3) = \{x \in \Sigma(3)^{n+1}: {\rm at least one coordinate of} x {\rm is irrational}\}$▫ is a universal space for all separable metrizable spaces of dimension ▫$\le n$▫
    Vir: Topology and its Applications. - ISSN 0166-8641 (Vol. 120, no. 1-2, 2002, str. 237-271)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2002
    Jezik - angleški
    COBISS.SI-ID - 11607560

vir: Topology and its Applications. - ISSN 0166-8641 (Vol. 120, no. 1-2, 2002, str. 237-271)
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