Lipscomb's L(A) Space Fractalized in Hilbert's l 2 (A) Space

DOI10.2307/2159369zbMath0788.54018OpenAlexW4238942873MaRDI QIDQ4018830

Stephen Leon Lipscomb, James C. Perry

Publication date: 16 January 1993

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159369

zbMATH Keywords

metric spacesfractalimbedding theoremsgeneralized code spacegeneralized fractal

Mathematics Subject Classification ID

Metric geometry (51F99) Dimension theory in general topology (54F45) Embedding (54C25)

Related Items (17)

1-perfect codes in Sierpiński graphs ⋮ New results on variants of covering codes in Sierpiński graphs ⋮ Graph Lipscomb's space is a generalized Hutchinson-Barnsley fractal ⋮ The hamiltonicity and path \(t\)-coloring of Sierpiński-like graphs ⋮ Lipscomb’s universal space is the attractor of an infinite iterated function system ⋮ Metric properties of Sierpiński-like graphs ⋮ Coloring the square of Sierpiński graphs ⋮ The Wiener index of Sierpiński-like graphs ⋮ Lipscomb's \(L(A)\) space fractalized in \(l^p (A)\) ⋮ The linear \(t\)-colorings of Sierpiński-like graphs ⋮ Lipscomb's space $\omega^{A}$ is the attractor of an infinite IFS containing affine transformations of $l^{2}(A)$ ⋮ Metric properties of the Tower of Hanoi graphs and Stern's diatomic sequence ⋮ The \((d, 1)\)-total labelling of Sierpiński-like graphs ⋮ Shortest paths in Sierpiński graphs ⋮ Vertex-, edge-, and total-colorings of Sierpiński-like graphs ⋮ Graphs S(n, k) and a Variant of the Tower of Hanoi Problem ⋮ A universal separable metric space based on the triangular Sierpiński curve

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