Topological groups from matrices of sets
General Topology
2025-06-24 v1 Logic
Abstract
We give a general construction of topological groups from combinatorial structures such as trees, towers, gaps, and subadditive functions. We connect topological properties of corresponding groups with combinatorial properties of these objects. For example, the group built from an -tree is Frech\'{e}t iff the tree is Aronszajn. We also determine cofinal types of some of these groups under certain set theoretic assumptions.
Cite
@article{arxiv.2506.17716,
title = {Topological groups from matrices of sets},
author = {Boriša Kuzeljević and Stepan Milošević and Stevo Todorčević},
journal= {arXiv preprint arXiv:2506.17716},
year = {2025}
}