# Homotopy Theory and Its Applications

Share this page *Edited by *
*Alejandro Adem; R. James Milgram; Douglas C. Ravenel*

This book is the result of a conference held to
examine developments in homotopy theory in honor of Samuel Gitler in
August 1993 (Cocoyoc, Mexico). It includes several research papers and
three expository papers on various topics in homotopy theory.

The research papers discuss the following:

- application of homotopy theory to group theory
- fiber bundle theory
- homotopy theory

The expository papers consider the following topics:

- the Atiyah-Jones conjecture (by C. Boyer)
- classifying spaces of finite groups (by J. Martino)
- instanton moduli spaces (by R. J. Milgram)

#### Readership

Research mathematicians.

# Table of Contents

## Homotopy Theory and Its Applications

- Contents v6 free
- Preface vii8 free
- Discrete groups, Grothendieck rings and families of finite subgroups 110 free
- Once in class with Sam 2534
- Stably fibre homotopy invariant classes in complex-oriented theories 2938
- Finite simple groups and Dickson invariants 3948
- The Atiyah-Jones Conjecture 5160
- On combinatorial group theory in homotopy 5766
- On the homotopy theory associated to certain finite groups of 2-rank two 6574
- Equivalences of some v1-telescopes 8190
- The stable homotopy type of rank two p-groups 93102
- Some homotopy of the cobordism spectrum MO(8) 105114
- Numerical invariants of fibrewise homotopy type 121130
- Geometric dimension of bundles on real projective spaces 137146
- Classifying spaces and their maps 161170
- The Atiyah-Jones conjecture for ruled surfaces and the geometry of instanton moduli spaces 199208
- Linear spaces of real matrices of given rank 219228
- A note on the Adams e-invariant 231240