Concordance of decompositions given by defining sequences

Boldizsar Kalmar

doi:10.1142/s0218216522500626

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arXiv · 2110.13342

Concordance of decompositions given by defining sequences

Boldizsar Kalmar

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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.

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Boldizsar Kalmar. 2021-10-26. Concordance of decompositions given by defining sequences. https://doi.org/10.1142/s0218216522500626

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