Image partition regularity of matrices near 0 with real entries.
Images of compact 0-dimensional semigroups
Imbedding compact semigroups in compact inverse semigroups.
In a left-topological semigroup with dense center the closure of any left ideal is an ideal.
In quest of weaker connected topologies
We study when a topological space has a weaker connected topology. Various sufficient and necessary conditions are given for a space to have a weaker Hausdorff or regular connected topology. It is proved that the property of a space of having a weaker Tychonoff topology is preserved by any of the free topological group functors. Examples are given for non-preservation of this property by “nice” continuous mappings. The requirement that a space have a weaker Tychonoff connected topology is rather...
Invariant cones in Lie algebras.
Invariant means, right ideals and the structure of semitopological semigroups.´
Invariant sets in topology and logic
Inversion and joint continuity in semigroups on kw-spaces.
Irreducibility and generation in continuous lattices.
Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms
We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.
Irreducible semigroups are monotone.
Irresolvable countable spaces of weight less than
We construct in Bell-Kunen’s model: (a) a group maximal topology on a countable infinite Boolean group of weight and (b) a countable irresolvable dense subspace of . In this model .
Is Topologically Simple Simple?
Isomorphic groupoid -algebras associated with different Haar systems.
Joint continuity of affine semigroup actions.
Jordan- and Lie geometries
In these lecture notes we report on research aiming at understanding the relation beween algebras and geometries, by focusing on the classes of Jordan algebraic and of associative structures and comparing them with Lie structures. The geometric object sought for, called a generalized projective, resp. an associative geometry, can be seen as a combination of the structure of a symmetric space, resp. of a Lie group, with the one of a projective geometry. The text is designed for readers having basic...
Kernel compactifications of uniquely divisible semigroups.
Kikkawa loops and homogeneous loops
In H. Kiechle's publication ``Theory of K-loops'' [3], the name Kikkawa loops is given to symmetric loops introduced by the author in 1973. This concept started from an analogical imagination of sum of vectors in Euclidean space brought up on a sphere. In 1975, this concept was extended by him to the more general concept of homogeneous loops, and it led us to a non-associative generalization of the theory of Lie groups. In this article, the backstage of finding these concepts will be disclosed from...
-groupoids: Algebraic and topological properties of special groupoids. (-Gruppoide: Algebraische und topologische Eigenschaften spezieller Gruppoide.)