Concordance of decompositions given by defining sequences
Geometric Topology
2025-01-22 v2
Abstract
We study the concordance and bordism of decompositions associated with defining sequences and we relate them to some invariants of toroidal decompositions and to the cobordism of homology manifolds. These decompositions are often wild Cantor sets and they arise as nested intersections of knotted solid tori. We show that there are at least uncountably many concordance classes of such decompositions in the 3-sphere.
Keywords
Cite
@article{arxiv.2110.13342,
title = {Concordance of decompositions given by defining sequences},
author = {Boldizsar Kalmar},
journal= {arXiv preprint arXiv:2110.13342},
year = {2025}
}
Comments
16 pages, some sketchy parts and some minor modifications have been completed