Published January 1, 2013
| Version v1
Journal article
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TANGENT METRIC SPACES TO STARLIKE SETS ON THE PLANE
- 1. NASU, Inst Appl Math & Mech, R Luxemburg Str 74, UA-83114 Donetsk, Ukraine
- 2. Mersin Univ, Fac Literature & Sci, Dept Math, TR-33342 Mersin, Turkey
Description
Let A subset of C be a starlike set with a center a. We prove that every tangent space to A at the point a is isometric to the smallest closed cone, with the vertex a, which includes A. A partial converse to this result is obtained. The tangent space to convex sets is also discussed.
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