A class of open surfaces with algorithmically solvable homeomorphism problem
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2012
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| _version_ | 1866910394055917568 |
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| 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 |