Search records | 東京工業大学附属図書館蔵書検索

目次情報: 続きを見る

Topological spaces and operations with them

Homotopy groups and homotopy equivalence

Coverings Cell spaces ($CW$-complexes)

Relative homotopy groups and the exact sequence of a pair

Fiber bundles

Smooth manifolds

The degree of a map

Homology: Basic definitions and examples

Main properties of singular homology groups and their computation

Homology of cell spaces

Morse theory

Cohomology and Poincare duality

Some applications of homology theory

Multiplication in cohomology (and homology)

Index of notations Subject

Index

Topological spaces and operations with them

Homotopy groups and homotopy equivalence

Coverings Cell spaces ($CW$-complexes)

目次情報: 続きを見る

Introduction / 1：

Mathematics / Part I：

Spaces and filtrations / 2：

Group theory / 3：

Homology / 4：

Morse theory / 5：

New results / 6：

Algorithms / Part II：

The persistence algorithms / 7：

Topological simplification / 8：

The Morse-Smale algorithm / 9：

The linking number algorithm / 10：

Applications / Part III：

Software / 11：

Experiments / 12：

Introduction / 1：

Mathematics / Part I：

Spaces and filtrations / 2：