Morse Theory of ℝn

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


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.


Exact Sequence Morse Theory Morse Function Affine Space Affine Subspace 
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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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