Author:
Jackson Steve,Mauldin R. Daniel
Abstract
AbstractWe survey some results and problems arising from a classic problem of Steinhaus: Is there a subset S of ℝ2 such that each isometric copy of ℤ2 (the lattice points in the plane) meets S in exactly one point.
Publisher
Cambridge University Press (CUP)
Cited by
9 articles.
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1. Functions Tiling with Several Lattices;Journal of Fourier Analysis and Applications;2022-08
2. INFINITE COMBINATORICS PLAIN AND SIMPLE;The Journal of Symbolic Logic;2018-09
3. Measurable Steinhaus sets do not exist for finite sets or the integers in the plane;Bulletin of the London Mathematical Society;2017-07-19
4. The Finite Steinhaus Problem;The Quarterly Journal of Mathematics;2016-09-26
5. Kaleidoscopical configurations;Journal of Mathematical Sciences;2014-06-21