Bijections of \({\mathbb{R}}^ n\) onto itself

DOI10.1007/BF00183024zbMath0654.51022OpenAlexW1993143589MaRDI QIDQ1108582

R. Daniel Mauldin, Richard J. Gardner

Publication date: 1988

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00183024

zbMATH Keywords

continuous mapsaffine mapsbijections of \({\mathbb{R}}^ n\) onto itself

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Euclidean analytic geometry (51N20) Affine analytic geometry (51N10)

Related Items (1)

A logical look at characterizations of geometric transformations under mild hypotheses

Cites Work

• Euclidean plane point-transformations preserving unit area or unit perimeter
• An observation about a theorem of A. D. Alexandrov concerning Lorentz transformations
• Affineness of convex-invariant mappings
• A characterization of plane Lorentz transformations
• The structure of space-time transformations
• Lorentz Transformations of a Hilbert Space
• Circle-Preserving Functions of Spheres
• Causality Implies the Lorentz Group
• On the characterization of plane projective and complex MOEBIUS‐transformations
• A Contribution to Chronogeometry
• The most general transformations of plane regions which transform circles into circles
• On Isometries of Euclidean Spaces
• Mappings of families of cones
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