Homotopy Fibrations with a Section after Looping (Memoirs of the American Mathematical Society)

Theriault, Stephen

American Mathematical Society（2024/09発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 101 p.
• 言語 ENG
• 商品コード 9781470470982

Full Description

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Contents

1. Introduction
2. Background
3. The fibre of the pinch map
4. Based loops on certain $2$-cones
5. An improvement
6. Applying Theorem
7. An application to Poincare Duality spaces
8. Inert maps
9. Based loops on connected sums
10. Hopf algebras and one-relator algebras
11. A second foundational case
12. Polyhedral products and Whitehead products