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Foundations of a theory of convexity on affine Grassmann manifolds
Author(s) -
Goodman Jacob E.,
Pollack Richard
Publication year - 1995
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300014613
Subject(s) - mathematics , citation , convexity , library science , mathematical economics , algebra over a field , computer science , pure mathematics , financial economics , economics
The starting point for the present paper is the following question, which asks whether points can be replaced by flats (translates of linear subspaces of arbitrary dimension) as the basic objects in a convexity structure on ℝ d .