Curves on 2-manifolds and isotopies

1966/01/01 by D. B. A. Epstein · 31 citations
Mathematics · Computer Science · #Geometric and Algebraic Topology #Topological and Geometric Data Analysis #Mathematical Dynamics and Fractals

paper · pdf · doi:10.1007/bf02392203

Abstract

In [2, 3] R. Baer proved that two homotopie simple closed curves, on an orientable closed 2-manifold M of genus greater than one, are isotopic. He applied this theorem to show that a homeomorphism of M, which is homotopie to the identity, is isotopic to the identity. There have been investigations of the same theorems by W. Brodel [4] and

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• Converting homotopies to isotopies and dividing homotopies in half in an effective way
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