A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Brian A. Munson is an Assistant Professor of Mathematics at the US Naval Academy. He has held postdoctoral and visiting positions at Stanford University, Harvard University, and Wellesley College, Massachusetts. His research area is algebraic topology, and his work spans topics such as embedding theory, knot theory, and homotopy theory.
Inhaltsangabe
Preface Part I. Cubical Diagrams: 1. Preliminaries 2. 1-cubes: homotopy fibers and cofibers 3. 2-cubes: homotopy pullbacks and pushouts 4. 2-cubes: the Blakers-Massey Theorems 5. n-cubes: generalized homotopy pullbacks and pushouts 6. The Blakers-Massey Theorems for n-cubes Part II. Generalizations, Related Topics, and Applications: 7. Some category theory 8. Homotopy limits and colimits of diagrams of spaces 9. Cosimplicial spaces 10. Applications Appendix References Index.
Preface Part I. Cubical Diagrams: 1. Preliminaries 2. 1-cubes: homotopy fibers and cofibers 3. 2-cubes: homotopy pullbacks and pushouts 4. 2-cubes: the Blakers-Massey Theorems 5. n-cubes: generalized homotopy pullbacks and pushouts 6. The Blakers-Massey Theorems for n-cubes Part II. Generalizations, Related Topics, and Applications: 7. Some category theory 8. Homotopy limits and colimits of diagrams of spaces 9. Cosimplicial spaces 10. Applications Appendix References Index.
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