An infinite cardinal version of Gallai's Theorem for colorings of the plane
Alm, Jeremy F.
Original · EN
We generalize a result of Tibor Gallai as follows: for any finite set of points S in the plane, if the plane is colored in finitely many colors, then there exist 2₀ monochromatic subsets of the plane homothetic to S. Furthermore, we prove an even stronger result for n-dimensional Euclidean space.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.