莫爾斯理論入門

《莫爾斯理論入門》內(nèi)容簡介：As the the title suggests, the goal of this book is to give the reader a taste of the “unreasonable effectiveness” of Morse theory. The main idea behind thistechnique can be easily visualized.

Suppose M is a smooth, compact manifold, which for simplicity we as-sume is embedded in a Euclidean space E. We would like to understand basictopological invariants of M suc...

《莫爾斯理論入門》內(nèi)容簡介：As the the title suggests, the goal of this book is to give the reader a taste of the “unreasonable effectiveness” of Morse theory. The main idea behind thistechnique can be easily visualized.

Suppose M is a smooth, compact manifold, which for simplicity we as-sume is embedded in a Euclidean space E. We would like to understand basictopological invariants of M such as its homology, and we attempt a “slicing” technique.