Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2012
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/1209.2818 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910394055917568 |
|---|---|
| author | Maillot, Sylvain |
| author_facet | Maillot, Sylvain |
| contents | We introduce a new class of possibly noncompact n-dimensional manifolds without boundary associated to finite data which we call topological automata. This class is large enough to contain many interesting examples of open 2-dimensional and 3-dimensional manifolds of interest to low-dimensional topologists. Our main result is that the homeomorphism problem in this class is decidable for n = 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1209_2818 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | A class of open surfaces with algorithmically solvable homeomorphism problem Maillot, Sylvain Geometric Topology 57K20 We introduce a new class of possibly noncompact n-dimensional manifolds without boundary associated to finite data which we call topological automata. This class is large enough to contain many interesting examples of open 2-dimensional and 3-dimensional manifolds of interest to low-dimensional topologists. Our main result is that the homeomorphism problem in this class is decidable for n = 2. |
| title | A class of open surfaces with algorithmically solvable homeomorphism problem |
| topic | Geometric Topology 57K20 |
| url | https://arxiv.org/abs/1209.2818 |