A class of open surfaces with algorithmically solvable homeomorphism problem

Sylvain Maillot

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arXiv · 1209.2818

A class of open surfaces with algorithmically solvable homeomorphism problem

Sylvain Maillot

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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.

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Sylvain Maillot. 2012-09-13. A class of open surfaces with algorithmically solvable homeomorphism problem. https://arxiv.org/abs/1209.2818

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