Convexity is a local property in CATκ(kappa) spaces

Ramos-Cuevas, Carlos (2016): Convexity is a local property in CATκ(kappa) spaces. In: Bárcenas, Noé; Galaz-García, Fernando und Moreno Rocha, Mónica (Hrsg.): Mexican mathematicians abroad : recent contributions : First Workshop Matemáticos Mexicanos Jóvenes en el Mundo, August 22-24, 2012, Centro de Investigación en Matemáticas, A.C., Guanajuato, Mexico. Contemporary mathematics : CONM, Bd. 657. American Mathematical Society. S. 189-196

Abstract

In this note we show that a connected, closed and locally convex subset (with an extra assumption on the diameter with respect to the induced length metric if kappa > 0) of a CAT(a) space is convex.

• Dokumententyp: Buchbeitrag
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISBN: 978-1-4704-2192-2 (print); 978-1-4704-2869-3 (online)
• Sprache: Englisch