COUNTABLE DECOMPOSITIONS OF R2 AND R3

被引：17
|
作者：
ERDOS, P
KOMJATH, P
机构：
[1] LEHIGH UNIV, DEPT MATH, BETHLEHEM, PA 18015 USA
[2] EOTVOS LORAND UNIV, DEPT COMP SCI, H-1445 BUDAPEST, HUNGARY
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 1990年 / 5卷 / 04期
关键词：
D O I：
10.1007/BF02187793
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
If the continuum hypothesis holds, R 2 is the union of countably many sets, none spanning a right triangle. Some partial results are obtained concerning the following conjecture of the first author:R 2 is the union of countably many sets, none spanning an isosceles triangle. Finally, it is shown that R 3 can be colored with countably many colors with no monochromatic rational distance. © 1990 Springer-Verlag New York Inc.
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页码：325 / 331
页数：7
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