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Homotopy Theory and Its Applications
| eBook ISBN: | 978-0-8218-7779-1 |
| Product Code: | CONM/188.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
Click above image for expanded view
Homotopy Theory and Its Applications
| eBook ISBN: | 978-0-8218-7779-1 |
| Product Code: | CONM/188.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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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 Atiyah-Jones 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 homotopy-theoretic methods can be applied to a variety of interesting problems.
ReadershipResearch mathematicians.
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Table of Contents
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Articles
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Alejandro Adem — Discrete groups, Grothendieck rings and families of finite subgroups [ MR 1349124 ]
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Anonymous — Once in class with Sam [ MR 1349125 ]
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L. Astey — Stably fibre homotopy invariant classes in complex-oriented theories [ MR 1349126 ]
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D. J. Benson and C. W. Wilkerson — Finite simple groups and Dickson invariants [ MR 1349127 ]
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Charles P. Boyer — The Atiyah-Jones conjecture [ MR 1349128 ]
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F. R. Cohen — On combinatorial group theory in homotopy [ MR 1349129 ]
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F. R. Cohen, J. R. Harper and R. Levi — On the homotopy theory associated to certain finite groups of $2$-rank two [ MR 1349130 ]
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Donald M. Davis — Equivalences of some $v_1$-telescopes [ MR 1349131 ]
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Jill Dietz and Stewart Priddy — The stable homotopy type of rank two $p$-groups [ MR 1349132 ]
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Mark Mahowald and Vassily Gorbounov — Some homotopy of the cobordism spectrum $M{\rm O}\langle 8\rangle $ [ MR 1349133 ]
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I. M. James — Numerical invariants of fibrewise homotopy type [ MR 1349134 ]
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Kee Yuen Lam and Duane Randall — Geometric dimension of bundles on real projective spaces [ MR 1349135 ]
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John R. Martino — Classifying spaces and their maps [ MR 1349136 ]
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R. James Milgram — The Atiyah-Jones conjecture for ruled surfaces and the geometry of instanton moduli spaces [ MR 1349137 ]
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Elmer G. Rees — Linear spaces of real matrices of given rank [ MR 1349138 ]
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José Seade — A note on the Adams $e$-invariant [ MR 1349139 ]
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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Volume: 188; 1995; 229 pp
MSC: 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 Atiyah-Jones 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 homotopy-theoretic methods can be applied to a variety of interesting problems.
Readership
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 complex-oriented theories [ MR 1349126 ]
-
D. J. Benson and C. W. Wilkerson — Finite simple groups and Dickson invariants [ MR 1349127 ]
-
Charles P. Boyer — The Atiyah-Jones 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 Atiyah-Jones 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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.