A selection of open problems
From MaRDI portal
Publication:1032909
DOI10.1016/j.topol.2009.04.020zbMath1217.05223OpenAlexW2026179601MaRDI QIDQ1032909
No author found.
Publication date: 5 November 2009
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.020
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Ramsey theory (05D10) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Arithmetic combinatorics; higher degree uniformity (11B30)
Related Items
On additive properties of sets defined by the Thue-Morse word ⋮ Contributions to the Bohr topology by W.W. Comfort ⋮ Some combinatorially defined subsets of \(\beta \mathbb N\) and their relation to the idempotents ⋮ Algebraic combinatorics in bounded induction
Cites Work
- Free groups and semigroups in \(\beta\) N
- Almost maximal spaces
- The maximal totally bounded group topology on G and the biggest minimal G-space, for Abelian groups G
- Small subsets of groups.
- An ergodic Szemerédi theorem for IP-systems and combinatorial theory
- A density statement generalizing Schur's theorem
- Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
- Algebra in the Stone-Čech compactification: theory and applications
- Bohr topologies and partition theorems for vector spaces
- Strongly summable ultrafilters on abelian groups
- Rado's theorem for commutative rings
- Weak projectives of finite semigroups
- A nilpotent Roth theorem.
- Counting subgroups and topological group topologies
- Finite sums from sequences within cells of a partition of N
- Topological multiple recurrence for polynomial configurations in nilpotent groups
- Almost disjoint large subsets of semigroups
- Random Liouville functions and normal sets
- Finite groups in Stone-Čech compactifications
- On sets of integers containing k elements in arithmetic progression
- Partitions and Sums and Products of Integers
- Every Uncountable Abelian Group Admits a Nonnormal Group Topology
- A Roth theorem for amenable groups.
- Failure of the Roth theorem for solvable groups of exponential growth
- Open Problems in Partition Regularity
- Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles I
- Unimodular Minimal Structures
- N ∗ does not Contain an Algebraic and Topological Copy of βN
- Central sets and a non-commutative Roth theorem
- Topologies induced by groups of characters
- Positional Games
- Note on Combinatorial Analysis
- Cross sections and homeomorphism classes of Abelian groups equipped with the Bohr topology
- A solution to van Douwen's problem on Bohr topologies
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item