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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)

Abstract

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).

Keywords

Fibre Bundle Homotopy Type Morse Theory Morse Function Vertical Part 
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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