Homotopy Theory and Its Applications
American Mathematical Society (Verlag)
978-0-8218-0305-9 (ISBN)
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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 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. It offers a distinctive account of how homotopy-theoretic methods can be applied to a variety of interesting problems.
Discrete groups, Grothendieck rings and families of finite subgroups by A. Adem Once in class with Sam by Anonymous Stably fibre homotopy invariant classes in complex-oriented theories by L. Astey Finite simple groups and Dickson invariants by D. J. Benson and C. W. Wilkerson The Atiyah-Jones conjecture by C. P. Boyer On combinatorial group theory in homotopy by F. R. Cohen On the homotopy theory associated to certain finite groups of $2$-rank two by F. R. Cohen, J. R. Harper, and R. Levi Equivalences of some $/upsilon_1$-telescopes by D. M. Davis The stable homotopy type of rank two $p$-groups by J. Dietz and S. Priddy Some homotopy of the cobordism spectrum $MO/langle 8/rangle$ by M. Mahowald and V. Gorbounov Numerical invariants of fibrewise homotopy type by I. M. James Geometric dimension of bundles on real projective spaces by K. Y. Lam and D. Randall Classifying spaces and their maps by J. R. Martino The Atiyah-Jones conjecture for ruled surfaces and the geometry of instanton moduli spaces by R. J. Milgram Linear spaces of real matrices of given rank by E. G. Rees A note on the Adams $e$-invariant by J. Seade.
Erscheint lt. Verlag | 30.7.1995 |
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Reihe/Serie | Contemporary Mathematics |
Verlagsort | Providence |
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 0-8218-0305-0 / 0821803050 |
ISBN-13 | 978-0-8218-0305-9 / 9780821803059 |
Zustand | Neuware |
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