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On a Special Mapping of a Cone onto a Polyhedron

In: Reshetnyak's Theory of Subharmonic Metrics

Author

Listed:
  • Yu. G. Reshetnyak(deceased)

    (Sobolev Institute of Mathematics)

Abstract

In this chapter, a polyhedronpolyhedron is a metric space with an intrinsic metric which satisfies the following properties: R is homeomorphic to a closed disk and it admits a partition into a finite number of closed sets Ri, each of which is isometric to a convex polygon of the Euclidean plane, and moreover the common part of any two of the sets Ri is made of a finite number (may be equal to zero) of simple arcs and isolated points.

Suggested Citation

  • Yu. G. Reshetnyak(deceased), 2023. "On a Special Mapping of a Cone onto a Polyhedron," Springer Books, in: François Fillastre & Dmitriy Slutskiy (ed.), Reshetnyak's Theory of Subharmonic Metrics, chapter 0, pages 251-264, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-24255-7_10
    DOI: 10.1007/978-3-031-24255-7_10
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