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Subspace Arrangements

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First European Congress of Mathematics

Part of the book series: Progress in Mathematics ((PM,volume 3))

Abstract

This paper will describe some recent developments in an area where combinatorics and complexity theory on the one hand, and geometry and topology on the other, have interacted in several fruitful ways. By a subspace arrangement we mean a finite collection of affine subspaces in the Euclidean space ℝn. There is a long tradition of work on hyperplane arrangements, i.e., concerning subspaces of codimension 1. Here, however, the emphasis will be entirely on arrangements of subspaces of arbitrary dimensions, about which much less is known.

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  1. Department of Mathematics, The Royal Institute of Technology, S-100 44, Stockholm, Sweden

    Anders Björner

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  1. Anders Björner
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  1. Laboratoire de Mathématiques Fondamentales, Université Pierre et Marie Curie, 4, place Jussieu, 75252, Paris Cedex 05, France

    Anthony Joseph  & Rudolf Rentschler  & 

  2. The Weizmann Institute of Science, 76100, Rehovot, Israel

    Anthony Joseph

  3. Mathématiques Bâtiment 425, Université de Paris-Sud, 91405, Orsay Cedex, France

    Fulbert Mignot

  4. Laboratoire d’Analyse Numérique, Université Pierre et Marie Curie, 4, place Jussieu, 75252, Paris Cedex, France

    François Murat

  5. Laboratoire de Statistique Médicale, Université Paris V, 45, rue des Saints Pères, 75270, Paris Cedex, France

    Bernard Prum

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Björner, A. (1994). Subspace Arrangements. In: Joseph, A., Mignot, F., Murat, F., Prum, B., Rentschler, R. (eds) First European Congress of Mathematics . Progress in Mathematics, vol 3. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9110-3_10

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