Dimension and superposition of bounded continuous functions on locally compact, separable metric spaces

DOI10.1016/0166-8641(93)90056-JzbMath0846.54026MaRDI QIDQ1314672

Yasunao Hattori

Publication date: 25 September 1996

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

zbMATH Keywords

covering dimensioncompact-open topologyBaire category theoremsuperposition of functionslocally compact, separable, metric space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Baire category, Baire spaces (54E52) Compact (locally compact) metric spaces (54E45) Dimension theory in general topology (54F45) Representation and superposition of functions (26B40)

Related Items (4)

A description of continua basically embeddable in \(\mathbb{R}^ 2\) ⋮ Free subspaces of free locally convex spaces ⋮ Hilbert 13: Are there any genuine continuous multivariate real-valued functions? ⋮ A superposition theorem of Kolmogorov type for bounded continuous functions

Cites Work

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• Dimension and superposition of continuous functions
• Dimension, superposition of functions and separation of points, in compact metric spaces
• 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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