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# Recent Progress in Homotopy Theory

### About this Title

**Donald M. Davis**, **Jack Morava**, **Goro Nishida**, **W. Stephen Wilson** and **Nobuaki Yagita**, Editors

Publication: Contemporary Mathematics

Publication Year:
2002; Volume 293

ISBNs: 978-0-8218-2801-4 (print); 978-0-8218-7883-5 (online)

DOI: https://doi.org/10.1090/conm/293

MathSciNet review: 1887523

### Table of Contents

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**Front/Back Matter**

** Two papers on the history of topology **

- Haynes Miller – A marriage of manifolds and algebra: the mathematical work of Peter Landweber [MR 1887524]
- Norihiko Minami – Some mathematical influences of Stewart Priddy [MR 1887525]

- Martin Bendersky and Robert D. Thompson – Some properties of the $K$-theory completion [MR 1887526]
- Robert R. Bruner, Donald M. Davis and Mark Mahowald – Nonimmersions of real projective spaces implied by $tmf$ [MR 1887527]
- Maurizio Brunetti – Higher Euler characteristics for almost extraspecial $p$-groups [MR 1887528]
- Yutaka Hemmi – Unstable $p$-th order operation and $H$-spaces [MR 1887529]
- Mark Mahowald and Mike Hopkins – The structure of 24 dimensional manifolds having normal bundles which lift to $B\textrm {O}[8]$ [MR 1887530]
- Po Hu and Igor Kriz – The homology of $BPO$ [MR 1887531]
- Masateru Inoue – $\scr A$-generators of the cohomology of the Steinberg summand $M(n)$ [MR 1890734]
- James P. Lin – Commutators in the homology of $H$-spaces [MR 1890735]
- James E. McClure and Jeffrey H. Smith – A solution of Deligneâ€™s Hochschild cohomology conjecture [MR 1890736]
- Mamoru Mimura and Tetsu Nishimoto – Hopf algebra structure of Morava $K$-theory of the exceptional Lie groups [MR 1890737]
- John Martino and Stewart Priddy – Minami-Webb type decompositions for compact Lie groups [MR 1890738]
- Douglas C. Ravenel – The method of infinite descent in stable homotopy theory. I [MR 1890739]
- Katsumi Shimomura – The homotopy groups $\pi _*(L_nT(m)\wedge V(n-2))$ [MR 1890740]
- Dai Tamaki – The fiber of iterated Freudenthal suspension and Morava $K$-theory of $\Omega ^kS^{2l+1}$ [MR 1890741]
- Michimasa Tanabe – On $K$-flat and $K$-moonshine-like elements in elliptic cohomology [MR 1890742]
- Takeshi Torii – The geometric fixed point spectrum of $(\textbf {Z}/p)^k$ Borel cohomology for $E_n$ and its completion [MR 1890743]
- Vladimir Voevodsky – A possible new approach to the motivic spectral sequence for algebraic $K$-theory [MR 1890744]
- Clarence W. Wilkerson, Jr. – Rings of invariants and inseparable forms of algebras over the Steenrod algebra [MR 1890745]
- Nobuaki Yagita – Chow rings of classifying spaces of extraspecial $p$-groups [MR 1890746]