Concordance of decompositions given by defining sequences
arXiv:2110.13342 · doi:10.1142/S0218216522500626
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.
16 pages, some sketchy parts and some minor modifications have been completed