In a recent paper A variant of the Hales-Jewett theorem , M. Beiglböck provides a version of the classic coloring result in which an instance of the variable in a word giving rise to a monochromatic combinatorial line can be moved around in a finite structure of specified type (for example, an arithmetic progression). We give an elementary proof and infinitary extensions. © 2009
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
AbstractIn this note we use a sequence constructed by Furstenberg in 1981 to disprove the following ...
AbstractIn this paper variations of the ∗-version of the Hales-Jewett theorem by Voigt for arbitrary...
In a recent paper A variant of the Hales-Jewett theorem , M. Beiglböck provides a version of the cl...
AbstractIn a recent paper “A variant of the Hales–Jewett theorem”, M. Beiglböck provides a version o...
We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial version of a...
Abstract: We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial ve...
International audienceThe Hales-Jewett Theorem states that given any finite nonempty set A and any f...
The Hales–Jewett theorem states that for any m and r there exists an n such that any r-colouring of ...
Leibman* An abstract, Hales-Jewett type extension of the polynomial van der Waer-den Theorem [BL] is...
A joint extension of H. Furstenberg\u27s central sets theorem, the Hales-Jewett coloring theorem and...
.32> f1; : : : ; lg m and define a combinatorial line to be a set of l distinct vectors agree ...
We construct for every integer $k\geq 3$ and every real $\mu\in(0, \frac{k-1}{k})$ a set of integers...
It was shown by V. Bergelson that any set B ⊆ N with positive upper multiplicative density contains ...
We study the length of monochromatic arithmetic progressions in the Thue–Morse word and in a class o...
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
AbstractIn this note we use a sequence constructed by Furstenberg in 1981 to disprove the following ...
AbstractIn this paper variations of the ∗-version of the Hales-Jewett theorem by Voigt for arbitrary...
In a recent paper A variant of the Hales-Jewett theorem , M. Beiglböck provides a version of the cl...
AbstractIn a recent paper “A variant of the Hales–Jewett theorem”, M. Beiglböck provides a version o...
We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial version of a...
Abstract: We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial ve...
International audienceThe Hales-Jewett Theorem states that given any finite nonempty set A and any f...
The Hales–Jewett theorem states that for any m and r there exists an n such that any r-colouring of ...
Leibman* An abstract, Hales-Jewett type extension of the polynomial van der Waer-den Theorem [BL] is...
A joint extension of H. Furstenberg\u27s central sets theorem, the Hales-Jewett coloring theorem and...
.32> f1; : : : ; lg m and define a combinatorial line to be a set of l distinct vectors agree ...
We construct for every integer $k\geq 3$ and every real $\mu\in(0, \frac{k-1}{k})$ a set of integers...
It was shown by V. Bergelson that any set B ⊆ N with positive upper multiplicative density contains ...
We study the length of monochromatic arithmetic progressions in the Thue–Morse word and in a class o...
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
AbstractIn this note we use a sequence constructed by Furstenberg in 1981 to disprove the following ...
AbstractIn this paper variations of the ∗-version of the Hales-Jewett theorem by Voigt for arbitrary...