**Contemporary Mathematics**

Volume: 293;
2002;
409 pp;
Softcover

MSC: Primary 55; 57;

Print ISBN: 978-0-8218-2801-4

Product Code: CONM/293

List Price: $114.00

Individual Member Price: $91.20

**Electronic ISBN: 978-0-8218-7883-5
Product Code: CONM/293.E**

List Price: $114.00

Individual Member Price: $91.20

# Recent Progress in Homotopy Theory

Share this page *Edited by *
*Donald M. Davis; Jack Morava; Goro Nishida; W. Stephen Wilson; Nobuaki Yagita*

This volume presents the proceedings from the month-long program held at Johns Hopkins University (Baltimore, MD) on homotopy theory, sponsored by the Japan-U.S. Mathematics Institute (JAMI). The book centers on the following:

It surveys the current state of research in homotopy theory and suggests a framework for future developments. The book begins with two historical accounts, of the work of Professors Peter Landweber and Stewart Priddy, in honor of their sixtieth birthdays.

#### Table of Contents

# Table of Contents

## Recent Progress in Homotopy Theory

- Contents vii8 free
- Preface ix10 free
- Two papers on the history of topology 112 free
- Research papers 3344
- Some properties of the K-theory completion 3546
- Nonimmersions of real projective spaces implied by tm f 4556
- Higher Euler characteristics for almost extraspecial p-groups 6980
- Unstable p-th order operation and H-spaces 7586
- The structure of 24 dimensional manifolds having normal bundles which lift to BO[8] 89100
- The homology of BPO 111122
- A-generators of the cohomology of the Steinberg summand M(n) 125136
- Commutators in the homology of H -spaces 141152
- A solution of Deligne's Hochschild cohomology conjecture 153164
- Hopf algebra structure of Morava K-theory of the exceptional Lie groups 195206
- Minami-Webb type decompositions for compact Lie groups 233244
- The method of infinite descent in stable homotopy theory I 251262
- The homotopy groups π*(LnT(m) Λ V(n – 2)) 285296
- The Fiber of iterated Freudenthal suspension and Morava K-theory of ΩkS2ℓ+1 299310
- On K-flat and K-moonshine-like elements in elliptic cohomology 331342
- The geometric fixed point spectrum of (Z/p)k Borel cohomology for En and its completion 343354
- A possible new approach to the motivic spectral sequence for algebraic K-theory 371382
- Rings of invariants and inseparable forms of algebras over the Steenrod algebra 381392
- Chow rings of classifying spaces of extraspecial p groups 397408

#### Readership

Graduate students and research mathematicians interested in algebraic topology and homotopy theory.