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Foundations of a theory of convexity on affine Grassmann manifolds

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

Jacob E. Goodman  and
Richard Pollack
Jacob E. Goodman
Affiliation:
City College, City University of New York, New York, NY 10031, U.S.A.
Richard Pollack
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, U.S.A.
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Extract

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 ℝd.

MSC classification

Secondary: 52A01: Axiomatic and generalized convexity
Type
Research Article
Information
Mathematika , Volume 42 , Issue 2 , December 1995 , pp. 305 - 328
Copyright
Copyright © University College London 1995

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