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Knudson K. Morse Theory. Smooth and Discrete 2015
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Textbook in PDF format

Preface
Smooth Morse Theory
First Steps
Fundamental Results in Morse Theory
Topological Consequences
Homology
Piecewise Linear Morse Theory
Discrete Morse Theory
First Steps
Topological Consequences
Algorithms
Applications
Appendix A. Smooth Manifolds
Appendix B. Cell Complexes
Bibliography
Index
Back Cover