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A Coloring Result for the Plane
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P. Komjáth
Published/Copyright:
June 4, 2010
Abstract
It is possible to color the plane with countably many colors such that if H is the rational points of a line (i.e., H = φ[ℚ] for some rigid motion) then H gets every color exactly once.
Key words and phrases.: Paradoxical decompositions of Euclidean spaces
Received: 1997-11-13
Revised: 1998-08-04
Published Online: 2010-06-04
Published in Print: 1999-June
© Heldermann Verlag
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- Oscillation Criteria for a Class of Functional Parabolic Equations
- Singular Filters for the Radon Backprojection
- Chemical Attack in Free Boundary Domains
- On Minimax Inequality and Generalized Quasi–Variational Inequality in H-Spaces
- Covering Baire 1 Functions with Darboux Functions and the Cofinality of the Ideal of Meager Sets
- On a Type of Hyperbolic Variational–Hemivariational Inequalities
- A Coloring Result for the Plane
- Nonlinear Alternative: Application to an Integral Equation
- Multivariable Regular Variation of Functions and Measures
- Constrained Equilibrium Point of Maximal Monotone Operator Via Variational Inequality
Keywords for this article
Paradoxical decompositions of Euclidean spaces
Articles in the same Issue
- Oscillation Criteria for a Class of Functional Parabolic Equations
- Singular Filters for the Radon Backprojection
- Chemical Attack in Free Boundary Domains
- On Minimax Inequality and Generalized Quasi–Variational Inequality in H-Spaces
- Covering Baire 1 Functions with Darboux Functions and the Cofinality of the Ideal of Meager Sets
- On a Type of Hyperbolic Variational–Hemivariational Inequalities
- A Coloring Result for the Plane
- Nonlinear Alternative: Application to an Integral Equation
- Multivariable Regular Variation of Functions and Measures
- Constrained Equilibrium Point of Maximal Monotone Operator Via Variational Inequality
