eBook ISBN:  9780821877791 
Product Code:  CONM/188.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877791 
Product Code:  CONM/188.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 188; 1995; 229 ppMSC: Primary 55; Secondary 58; 20
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.
ReadershipResearch mathematicians.

Table of Contents

Articles

Alejandro Adem — Discrete groups, Grothendieck rings and families of finite subgroups [ MR 1349124 ]

Anonymous — Once in class with Sam [ MR 1349125 ]

L. Astey — Stably fibre homotopy invariant classes in complexoriented theories [ MR 1349126 ]

D. J. Benson and C. W. Wilkerson — Finite simple groups and Dickson invariants [ MR 1349127 ]

Charles P. Boyer — The AtiyahJones conjecture [ MR 1349128 ]

F. R. Cohen — On combinatorial group theory in homotopy [ MR 1349129 ]

F. R. Cohen, J. R. Harper and R. Levi — On the homotopy theory associated to certain finite groups of $2$rank two [ MR 1349130 ]

Donald M. Davis — Equivalences of some $v_1$telescopes [ MR 1349131 ]

Jill Dietz and Stewart Priddy — The stable homotopy type of rank two $p$groups [ MR 1349132 ]

Mark Mahowald and Vassily Gorbounov — Some homotopy of the cobordism spectrum $M{\rm O}\langle 8\rangle $ [ MR 1349133 ]

I. M. James — Numerical invariants of fibrewise homotopy type [ MR 1349134 ]

Kee Yuen Lam and Duane Randall — Geometric dimension of bundles on real projective spaces [ MR 1349135 ]

John R. Martino — Classifying spaces and their maps [ MR 1349136 ]

R. James Milgram — The AtiyahJones conjecture for ruled surfaces and the geometry of instanton moduli spaces [ MR 1349137 ]

Elmer G. Rees — Linear spaces of real matrices of given rank [ MR 1349138 ]

José Seade — A note on the Adams $e$invariant [ MR 1349139 ]


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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.
Research mathematicians.

Articles

Alejandro Adem — Discrete groups, Grothendieck rings and families of finite subgroups [ MR 1349124 ]

Anonymous — Once in class with Sam [ MR 1349125 ]

L. Astey — Stably fibre homotopy invariant classes in complexoriented theories [ MR 1349126 ]

D. J. Benson and C. W. Wilkerson — Finite simple groups and Dickson invariants [ MR 1349127 ]

Charles P. Boyer — The AtiyahJones conjecture [ MR 1349128 ]

F. R. Cohen — On combinatorial group theory in homotopy [ MR 1349129 ]

F. R. Cohen, J. R. Harper and R. Levi — On the homotopy theory associated to certain finite groups of $2$rank two [ MR 1349130 ]

Donald M. Davis — Equivalences of some $v_1$telescopes [ MR 1349131 ]

Jill Dietz and Stewart Priddy — The stable homotopy type of rank two $p$groups [ MR 1349132 ]

Mark Mahowald and Vassily Gorbounov — Some homotopy of the cobordism spectrum $M{\rm O}\langle 8\rangle $ [ MR 1349133 ]

I. M. James — Numerical invariants of fibrewise homotopy type [ MR 1349134 ]

Kee Yuen Lam and Duane Randall — Geometric dimension of bundles on real projective spaces [ MR 1349135 ]

John R. Martino — Classifying spaces and their maps [ MR 1349136 ]

R. James Milgram — The AtiyahJones conjecture for ruled surfaces and the geometry of instanton moduli spaces [ MR 1349137 ]

Elmer G. Rees — Linear spaces of real matrices of given rank [ MR 1349138 ]

José Seade — A note on the Adams $e$invariant [ MR 1349139 ]