Abstract
Suppose that X is a topological space, f is a real valued function on X, and c is a real number. Then we will denote by X ≤c the subspace of points x in X such that f(x)≤c. The fundamental problem of Morse theory is to study the topological changes in the space X ≤c as the number c varies.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Goresky, M., MacPherson, R. (1988). Stratified Morse Theory. In: Stratified Morse Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71714-7_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-71714-7_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-71716-1
Online ISBN: 978-3-642-71714-7
eBook Packages: Springer Book Archive