A characterization of shortest geodesics on surfaces.
Neumann-Coto, Max (2001)
Algebraic & Geometric Topology
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Displaying similar documents to “Homotopy Classification of Nondegenerate Quasiperiodic Curves on the 2-sphere”
A characterization of shortest geodesics on surfaces.
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Jean-Michel Morel, Sergio Solimini (1988)
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Fernando Bertolini (1953)
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Characterization of compact subsets of curves with ω-continuous derivatives
Marcin Pilipczuk (2011)
Fundamenta Mathematicae
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We give a characterization of compact subsets of finite unions of disjoint finite-length curves in ℝⁿ with ω-continuous derivative and without self-intersections. Intuitively, our condition can be formulated as follows: there exists a finite set of regular curves covering a compact set K iff every triple of points of K behaves like a triple of points of a regular curve. This work was inspired by theorems by Jones, Okikiolu, Schul and others that characterize compact...