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Topological dimension and sums of connectivity functions

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Publication:5937494
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DOI10.1016/S0166-8641(99)00231-XzbMath1006.54045OpenAlexW1494426224MaRDI QIDQ5937494

Krzysztof Chris Ciesielski, Jerzy Wojciechowski

Publication date: 5 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00231-x

zbMATH Keywords

connectivity functionsDarboux functionssmall inductive dimension


Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Real-valued functions in general topology (54C30) Representation and superposition of functions (26B40)


Related Items

Connectivity and almost continuous images of \(I^{m}\)



Cites Work

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  • An axiomatic characterization of the dimension of subsets of Euclidean spaces
  • Almost continuity
  • Cardinal invariants concerning extendable and peripherally continuous functions
  • Darboux-like functions within the classes of Baire one, Baire two, and additive functions
  • Darboux like functions
  • Sums of Connectivity Functions on R n
  • Pseudo-Boundaries and Pseudo-Interiors in Euclidean Spaces and Topological Manifolds
  • Equivalence of Connectivity Maps and Peripherally Continuous Transformations
  • Fixed point theorems for connectivity maps
  • Sums of Darboux-like functions from \(\mathbf R^n\) to \(\mathbf R^m\)
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