Normal Morse Data of Two Morse Functions

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


In this chapter we analyze the normal Morse data at a critical point pZ of a function f1: Z → ℝ under the assumption that there exists a second function f2: Z → ℝ such that the map (f1,f2): Z → ℝ2 has a nondegenerate critical point at p (see below).


Fibre Bundle Homotopy Type Morse Theory Morse Function Vertical Part 
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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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