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Algebra in the Stone-Cech Compactification: Theory and Applications

- N. Hindman, D. Strauss
- Mathematics
- 13 August 1998

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large… Expand

468 43- PDF

Finite Sums from Sequences Within Cells of a Partition of N

- N. Hindman
- Computer Science, Mathematics
- J. Comb. Theory, Ser. A
- 1 July 1974

TLDR

380 25

Ramsey Theoretic Consequences of Some New Results About Algebra in the Stone-Čech Compactification

- T. Carlson, N. Hindman, D. Strauss
- Mathematics
- 2005

Recently [4] we have obtained some new algebraic results about βN, the Stone-Cech compactification of the discrete set of positive integers and about βW , where W is the free semigroup over a… Expand

72 9- PDF

Multiplicative structures in additively large sets

- M. Beiglböck, V. Bergelson, N. Hindman, D. Strauss
- Computer Science, Mathematics
- J. Comb. Theory, Ser. A
- 1 October 2006

TLDR

53 8- PDF

Partition Theorems for Spaces of Variable Words

- V. Bergelson, A. Blass, N. Hindman
- Mathematics
- 1 May 1994

Furstenberg and Katznelson applied methods of topological dynamics to Ramsey theory, obtaining a density version of the Hales-Jewett partition theorem. Inspired by their methods, but using spaces of… Expand

67 8

Nonmetrizable topological dynamics and Ramsey theory

- V. Bergelson, N. Hindman
- Mathematics
- 1990

Applying ideas from topological dynamics in compact metric spaces to the Stone-Cech compactification of a discrete semigroup, several new proofs of old results and some new results in Ramsey Theory… Expand

101 4- PDF

On strongly summable ultrafilters and union ultrafilters

- A. Blass, N. Hindman
- Mathematics
- 1987

We prove that union ultrafilters are essentially the same as strongly summable ultrafilters but ordered-union ultrafilters are not. We also prove that the existence of ultrafilters of these sorts… Expand

44 4- PDF

Open Problems in Partition Regularity

- N. Hindman, I. Leader, D. Strauss
- Computer Science, Mathematics
- Combinatorics, Probability and Computing
- 1 November 2003

TLDR

48 4

Density in Arbitrary Semigroups

- N. Hindman, D. Strauss
- Mathematics
- 2006

We introduce some notions of density in an arbitrary semigroup S which extend the usual notions in countable left amenable semigroups in which density is based on Folner sequences. The new notions… Expand

38 4- PDF

Monochromatic Sums Equal to Products in ℕ

- N. Hindman
- Mathematics
- 2011

Abstract Csikvári, Gyarmati, and Sárközy asked whether, whenever the set ℕ of positive integers is finitely colored, there must exist monochromatic a, b, c, and d with a ≠ b such that a + b = cd. We… Expand

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