New examples of small Polish structures
Jan Dobrowolski
TL;DR
This paper provides new examples of small Polish structures, including small Polish group structures without generic elements and a small non-zero-dimensional Polish G-group, addressing open questions in the field.
Contribution
It introduces novel examples of small Polish structures, expanding the understanding of their properties and answering specific questions posed by Krupiński.
Findings
Presented a class of small Polish group structures without generic elements.
Constructed the first example of a small non-zero-dimensional Polish G-group.
Abstract
We answer some questions from a paper of Krupi\'nski by giving suitable examples of small Polish structures. First, we present a class of small Polish group structures without generic elements. Next, we construct a first example of a small non-zero-dimensional Polish -group.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Geometric and Algebraic Topology