A description of continua basically embeddable in \(\mathbb{R}^ 2\)

DOI10.1016/0166-8641(95)00100-UzbMath0853.54032OpenAlexW2072640822MaRDI QIDQ1900740

Arkadij B. Skopenkov

Publication date: 9 January 1997

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00100-u

zbMATH Keywords

dendritesbranched pointsubcontinuaacyclic Peano continuabasic embeddingbasically embeddablenull-sequence

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Embedding (54C25) Real-valued functions in general topology (54C30)

Related Items (6)

A description of continua basically embeddable in \(\mathbb{R}^ 2\) ⋮ On basic embeddings into the plane ⋮ Constructive decomposition of a function of two variables as a sum of functions of one variable ⋮ Basic Sets in the Digital Plane ⋮ On basic embeddings of compacta into the plane ⋮ Open problems on graphs arising from geometric topology

Cites Work

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• Dimension and superposition of continuous functions
• Dimension, superposition of functions and separation of points, in compact metric spaces
• Dimension and superposition of bounded continuous functions on locally compact, separable metric spaces
• A description of continua basically embeddable in \(\mathbb{R}^ 2\)
• A Superposition Theorem for Bounded Continuous Functions
• On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition
• Dimension of metric spaces and Hilbert’s problem 13

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