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Morse Theory of ℝn

  • Mark Goresky
  • Robert MacPherson
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 14)

Abstract

Throughout this chapter we will fix an arrangement A = {A1A2,…,Am} of affine subspaces of n , let P denote the corresponding partially ordered set of flats which are the intersections of the affine spaces, let T denote the unique maximal element of P corresponding to n , and let K(P)denote the order complex of P. We denote by M = n − ∪ A the space of interest, i.e., the complement of the affine subspaces in A.

Keywords

Exact Sequence Morse Theory Morse Function Affine Space Affine Subspace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Mark Goresky
    • 1
  • Robert MacPherson
    • 2
  1. 1.Department of MathematicsNortheastern UniversityBostonUSA
  2. 2.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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