**Contemporary Mathematics**

Volume: 239;
1999;
378 pp;
Softcover

MSC: Primary 55;

Print ISBN: 978-0-8218-1057-6

Product Code: CONM/239

List Price: $93.00

Individual Member Price: $74.40

**Electronic ISBN: 978-0-8218-7829-3
Product Code: CONM/239.E**

List Price: $93.00

Individual Member Price: $74.40

# Homotopy Invariant Algebraic Structures: A Conference in Honor of J. Michael Boardman

Share this page *Edited by *
*Jean-Pierre Meyer; Jack Morava; W. Stephen Wilson*

This volume presents the proceedings of the conference held
in honor of J. Michael Boardman's 60th birthday. It brings into print
his classic work on conditionally convergent spectral sequences.

Over the past 30 years, it has become evident that some of the
deepest questions in algebra are best understood against the
background of homotopy theory. Boardman and Vogt's theory of
homotopy-theoretic algebraic structures and the theory of spectra, for
example, were two benchmark breakthroughs underlying the development
of algebraic \(K\)-theory and the recent advances in the theory of
motives.

The volume begins with short notes by Mac Lane, May, Stasheff, and
others on the early and recent history of the subject. But the bulk of
the volume consists of research papers on topics that have been
strongly influenced by Boardman's work. Articles give readers a vivid
sense of the current state of the theory of “homotopy-invariant
algebraic structures”. Also included are two major foundational
papers by Goerss and Strickland on applications of methods of algebra
(i.e., Dieudonné modules and formal schemes) to problems of
topology.

Boardman is known for the depth and wit of his ideas. This volume
is intended to reflect and to celebrate those fine
characteristics.

#### Table of Contents

# Table of Contents

## Homotopy Invariant Algebraic Structures: A Conference in Honor of J. Michael Boardman

- Contents vii8 free
- Preface ix10 free
- Publications of J. Michael Boardman xi12 free
- Some History 114 free
- Research Papers 3750
- Stabilizing the lower operations for mod two cohomology 3952
- Conditionally convergent spectral sequences 4962
- On K( n )-equivalences of spaces 8598
- Tesselations of moduli spaces and the mosaic operad 91104
- Hopf rings, Dieudonné modules, and E*Ω2S3 115128
- The structure of the Bousfield lattice 175188
- Transfinite spectral sequences 197210
- The Z/p-equivariant complex cobordism ring 217230
- Hopf constructions, Samelson products, and suspension maps 225238
- Embedding homotopy spheres and the Kervaire invariant 239252
- Adjoining roots of unity to E∞ ring spectra in good cases – a remark 245258
- Grothendieck topology and the Picard group of a complex orbifold 251264
- Formal schemes and formal groups 263276
- Simplicial commutative Fp-algebras through the looking-glass of the Fp-local spaces 353366
- The swiss-cheese operad 365378
- K(n + 1) equivalence implies K(n) equivalence 375388

#### Readership

Graduate students and research mathematicians interested in the interaction between the theory of operads and mathematical physics; historical scientists interested in paradigm shifts; toplogists; algebraists; algebraic geometers.