On a Special Mapping of a Cone onto a Polyhedron

Yu. G. Reshetnyak(deceased) ()
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Yu. G. Reshetnyak(deceased): Sobolev Institute of Mathematics

Chapter Chapter 10 in Reshetnyak's Theory of Subharmonic Metrics, 2023, pp 251-264 from Springer

Abstract: 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.

Date: 2023
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DOI: 10.1007/978-3-031-24255-7_10

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