A class of open surfaces with algorithmically solvable homeomorphism problem
Geometric Topology
2024-04-03 v4
Abstract
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.
Cite
@article{arxiv.1209.2818,
title = {A class of open surfaces with algorithmically solvable homeomorphism problem},
author = {Sylvain Maillot},
journal= {arXiv preprint arXiv:1209.2818},
year = {2024}
}
Comments
Title, abstract have changed. Introduction and concluding remarks substantially rewritten