Homogeneity of ideals
- Speaker(s)
- Jacek Tryba
- Affiliation
- University of Gdańsk
- Date
- March 8, 2017, 4:15 p.m.
- Room
- room 5050
- Seminar
- Topology and Set Theory Seminar
The homogeneity family of the ideal I is a family of subsets such that the
restriction of I to this subset is isomorphic to I.
We say that an ideal I is homogeneous if all I-positive sets belong to the
homogeneity family of I. We investigate basic properties of this notion,
give examples of homogeneous ideals and present some applications to
topology and ideal convergence.
Moreover, we present connections between the homogeneity families and the
notion of bi-I-invariant functions introduced by Balcerzak, Głąb and
Swaczyna and give answers to several questions related to this topic.