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Bibliographic Details
Main Author: Maillot, Sylvain
Format: Preprint
Published: 2012
Subjects:
Online Access:https://arxiv.org/abs/1209.2818
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Table of 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.