Affine functions on Alexandrov spaces

Lange, Christian und Stadler, Stephan (2018): Affine functions on Alexandrov spaces. In: Mathematische Zeitschrift, Vol. 289, No. 1-2: pp. 455-469

Abstract

We show that every finite-dimensional Alexandrov space X with curvature bounded from below embeds canonically into a product of an Alexandrov space with the same curvature bound and a Euclidean space such that each affine function on X comes from an affine function on the Euclidean space.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0025-5874
• Language: English