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The Schönflies theorem for polygons in R 2

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Book cover Geometric Topology in Dimensions 2 and 3

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 47))

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Abstract

We now want to show that all polygons are situated in the plane in exactly the same way, topologically. That is, if J and J’ are polygons in R 2, then there is a homeomorphism f: R 2R 2 such that f(J) = J’. For this, we need some preliminary results.

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© 1977 Springer Science+Business Media New York

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Moise, E.E. (1977). The Schönflies theorem for polygons in R 2 . In: Geometric Topology in Dimensions 2 and 3. Graduate Texts in Mathematics, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9906-6_4

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  • DOI: https://doi.org/10.1007/978-1-4612-9906-6_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9908-0

  • Online ISBN: 978-1-4612-9906-6

  • eBook Packages: Springer Book Archive

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