Embeddings of $n$-dimensional separable metric spaces into the product of Sierpiński curves

DOI10.1090/S0002-9939-07-08782-5zbMath1129.54021MaRDI QIDQ3438133

Daria Michalik

Publication date: 15 May 2007

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

zbMATH Keywords

embeddingcovering dimensionSierpiński curve

Mathematics Subject Classification ID

Topological spaces of dimension (leq 1); curves, dendrites (54F50) Dimension theory in general topology (54F45) Embedding (54C25) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (1)

Generalized manifolds in products of curves

Cites Work

• Dimension preserving compactifications allowing extensions of continuous functions
• A universal separable metric space based on the triangular Sierpiński curve
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