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Sets meeting isometric copies of the lattice Z(2) in exactly one point

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PubMed Central2002-12-04 更新2026-05-25 收录
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The construction of a subset S of ℝ(2) such that each isometric copy of ℤ(2) (the lattice points in the plane) meets S in exactly one point is indicated. This provides a positive answer to a problem of H. Steinhaus [Sierpiński, W. (1958) Fund. Math. 46, 191–194].

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2002-12-04
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