Correction to the paper “The Bohr compactification, modulo a metrizable subgroup” (Fund. Math. 143 (1993), 119–136)
Countable dense homogeneous filters and the Menger covering property
We present a ZFC construction of a non-meager filter which fails to be countable dense homogeneous. This answers a question of Hernández-Gutiérrez and Hrušák. The method of the proof also allows us to obtain for any n ∈ ω ∪ {∞} an n-dimensional metrizable Baire topological group which is strongly locally homogeneous but not countable dense homogeneous.
Countable products of LCA groups: their closed subgroups, quotients and duality properties
Coverings and ring-groupoids.
D sets and IP rich sets in ℤ
We give combinatorial characterizations of IP rich sets (IP sets that remain IP upon removal of any set of zero upper Banach density) and D sets (members of idempotent ultrafilters, all of whose members have positive upper Banach density) in ℤ. We then show that the family of IP rich sets strictly contains the family of D sets.
Decompositions of the state space, homomorphisms and products of semigroup acts
Density Character in Topological Groups.
Differentiable monoids with smooth boundary.
Differentiable semigroups
Differentiable semigroups are Lie groups.
Dimension Raising Maps in Topological Algebra.
Dimension raising maps in topological spaces.
Direct sums of spaces of functions on semigroups.
Discrete semigroups in nilpotent Lie groups.
Distributive groupoids and biassociativity.
Distributive groupoids and biassociativity. (Short Communication).
Drinfel'd doubles and Ehresmann doubles for Lie algebroids and Lie bialgebroids.
Duality and algebraically irreducible semigroups
Duality for generalized events
Duals of Orbit Spaces in Groups With Relatively Compact Inner Automorphism Groups Are Hypergroups.