Nonmetrizable Topological Dynamics and Ramsey Theory
From MaRDI portal
Publication:5203253
DOI10.2307/2001762zbMath0725.22001OpenAlexW4253809698MaRDI QIDQ5203253
Neil Hindman, Vitaly Bergelson
Publication date: 1990
Full work available at URL: https://doi.org/10.2307/2001762
partitionidempotentstopological dynamicsarithmetic progressionStone-Čech compactificationcombinatorial number theoryminimal right idealvan der Waerden's Theoremsemigroup operationscentral subset
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (59)
Van der Corput's difference theorem: some modern developments ⋮ On \(\text{IP}^*\) sets and central sets ⋮ Polynomial recurrence with large intersection over countable fields ⋮ On chaotic minimal center of attraction of a Lagrange stable motion for topological semi flows ⋮ Multiplicative richness of additively large sets in \(\mathbb{Z}^d\) ⋮ Multiplicative structures in additively large sets ⋮ Central sets in commutative semigroups and partition regularity of systems of linear equations ⋮ Additive and Multiplicative Ramsey Theorems in ℕ – Some Elementary Results ⋮ Image Partition Regularity of Matrices ⋮ Cancellation in the Stone–Čech compactification of a discrete semigroup ⋮ Image partition regularity of matrices over commutative semigroups ⋮ Large sets near idempotent and its product ⋮ Some combinatorially defined subsets of \(\beta \mathbb N\) and their relation to the idempotents ⋮ Central sets theorem near of an idempotent in wap-compactification ⋮ Polynomial extension of the stronger central sets theorem ⋮ A dynamical approach to nonhomogeneous spectra ⋮ Idempotent ultrafilters, multipleweak mixing and Szemerédi's theorem for generalized polynomials ⋮ Central sets theorem in arbitrary semigroup ⋮ Dynamical notions along filters ⋮ Additive and multiplicative structures in completely \(I\)-large\(^\ast\) sets ⋮ Triangles in Cartesian Squares of Quasirandom Groups ⋮ Polynomials at iterated spectra near zero ⋮ Central sets and substitutive dynamical systems ⋮ Dynamics near an idempotent ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Lévy group action and invariant measures on 𝛽{ℕ} ⋮ Characterizations of relativized distal points of topological dynamical systems ⋮ New polynomial and multidimensional extensions of classical partition results ⋮ Measure preserving actions of affine semigroups and patterns ⋮ Dynamical characterizations of combinatorially rich sets near zero ⋮ Almost disjoint large subsets of semigroups ⋮ On Galvin's theorem for compact Hausdorff right-topological semigroups with dense topological centers ⋮ Topological properties of some algebraically defined subsets of \(\beta \mathbb{N}\) ⋮ Van der Waerden spaces ⋮ An infinitary polynomial Hales-Jewett theorem ⋮ P-sets and minimal right ideals in N* ⋮ Ultrafilters and topologies on groups ⋮ Iterated hyper-extensions and an idempotent ultrafilter proof of Rado’s Theorem ⋮ Ramsey Theory in Noncommutative Semigroups ⋮ Hindman spaces ⋮ The smallest ideals of \(\beta\mathbb N\) under addition and multiplication ⋮ A history of central sets ⋮ A generalized central sets theorem in partial semigroups ⋮ On the interplay between additive and multiplicative largeness and its combinatorial applications ⋮ Dynamical characterization of central sets along filter ⋮ Idempotents in compact semigroups and Ramsey theory ⋮ Central sets theorem on noncommutative semigroups ⋮ Additive and multiplicative Ramsey theory in the reals and the rationals ⋮ Solvability of Rado systems in \(D\)-sets ⋮ WM groups and Ramsey theory ⋮ An infinitary polynomial van der Waerden theorem ⋮ Strongly central sets and sets of polynomial returns mod 1 ⋮ Central sets theorem along filters and some combinatorial consequences ⋮ A new and simpler noncommutative central sets theorem ⋮ A nonstandard technique in combinatorial number theory ⋮ Density in partial semigroups ⋮ Some new multi-cell Ramsey theoretic results ⋮ Rado's theorem for commutative rings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ultrafilters and multidimensional Ramsey theorems
- Idempotents in compact semigroups and Ramsey theory
- Locally compact transformation groups
- Free groups and semigroups in \(\beta\) N
- The ideal structure of the space of \(\kappa\)-uniform ultrafilters on a discrete semigroup
- Density versions of two generalizations of Schur's theorem
- A combinatorially large cell of a partition of N
- Topological dynamics and combinatorial number theory
- Minimal ideals and cancellation in beta(N)
- Compact right topological semigroups and generalizations of almost periodicity
- Compact semitopological semigroups and weakly almost periodic functions
- Partitionen und lineare Gleichungssysteme
- A Semigroup Associated With a Transformation Group
- Partitions and Sums and Products of Integers
- Sums of ultrafilters
- The Existence of Certain Ultrafilters on N and a Conjecture of Graham and Rothschild
- Rechtstopologische Halbgruppen.
- Compactifications of semitopological semigroups
- Note on Combinatorial Analysis
This page was built for publication: Nonmetrizable Topological Dynamics and Ramsey Theory