Concordance of decompositions given by defining sequences
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2021
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912192682524672 |
|---|---|
| author | Kalmar, Boldizsar |
| author_facet | Kalmar, Boldizsar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_13342 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Concordance of decompositions given by defining sequences Kalmar, Boldizsar Geometric Topology 57N70, 57M30, 57P99 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. |
| title | Concordance of decompositions given by defining sequences |
| topic | Geometric Topology 57N70, 57M30, 57P99 |
| url | https://arxiv.org/abs/2110.13342 |