Affine functions on Alexandrov spaces

作者:Lange Christian*; Stadler Stephan
来源:Mathematische Zeitschrift, 2018, 289(1-2): 455-469.
DOI:10.1007/s00209-017-1959-z

摘要

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.

  • 出版日期2018-6

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