Contemporary Mathematics 1995; 229 pp; softcover Volume: 188 ISBN10: 0821803050 ISBN13: 9780821803059 List Price: US$63 Member Price: US$50.40 Order Code: CONM/188
 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 AtiyahJones conjecture (by C. Boyer)
 classifying spaces of finite groups (by J. Martino)
 instanton moduli spaces (by R. J. Milgram)
Homotopy Theory and Its Applications offers a distinctive account of how homotopytheoretic methods can be applied to a variety of interesting problems. Readership Research mathematicians. Table of Contents  A. Adem  Discrete groups, Grothendieck rings and families of finite subgroups
 Anonymous  Once in class with Sam
 L. Astey  Stably fibre homotopy invariant classes in complexoriented theories
 D. J. Benson and C. W. Wilkerson  Finite simple groups and Dickson invariants
 C. P. Boyer  The AtiyahJones conjecture
 F. R. Cohen  On combinatorial group theory in homotopy
 F. R. Cohen, J. R. Harper, and R. Levi  On the homotopy theory associated to certain finite groups of \(2\)rank two
 D. M. Davis  Equivalences of some \(\upsilon _1\)telescopes
 J. Dietz and S. Priddy  The stable homotopy type of rank two \(p\)groups
 M. Mahowald and V. Gorbounov  Some homotopy of the cobordism spectrum \(MO\langle 8\rangle\)
 I. M. James  Numerical invariants of fibrewise homotopy type
 K. Y. Lam and D. Randall  Geometric dimension of bundles on real projective spaces
 J. R. Martino  Classifying spaces and their maps
 R. J. Milgram  The AtiyahJones conjecture for ruled surfaces and the geometry of instanton moduli spaces
 E. G. Rees  Linear spaces of real matrices of given rank
 J. Seade  A note on the Adams \(e\)invariant
