A coloring of the plane without monochromatic right triangles. (English) Zbl 1538.03015
It was shown by P. Erdős and P. Komjáth [Discrete Comput. Geom. 5, No. 4, 325–331 (1990; Zbl 0723.52005)] that CH is equivalent to “there is a coloring of the plane with countably many colors, with no monochromatic right triangle”.
The proof of the direction from left to right was incomplete. Here, the authors give a full, correct proof.
The proof of the direction from left to right was incomplete. Here, the authors give a full, correct proof.
Reviewer: Martin Weese (Potsdam)
MSC:
| 03E50 | Continuum hypothesis and Martin’s axiom |
| 03E02 | Partition relations |
| 03E05 | Other combinatorial set theory |
| 05D10 | Ramsey theory |
