ZZ/2 - Homotopy Theory PDF Download
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Author: Michael Charles Crabb
Publisher: Cambridge University Press
ISBN: 0521280516
Category : Mathematics
Languages : en
Pages : 137
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Book Description
This account is a study of twofold symmetry in algebraic topology. The author discusses specifically the antipodal involution of a real vector bundle - multiplication by - I in each fibre; doubling and squaring operations; the symmetry of bilinear forms and Hermitian K-theory. In spite of its title, this is not a treatise on equivariant topology; rather it is the language in which to describe the symmetry. Familiarity with the basic concepts of algebraic topology (homotopy, stable homotopy, homology, K-theory, the Pontrjagin-Thom transfer construction) is assumed. Detailed proofs are not given (the expert reader will be able to supply them when necessary) yet nowhere is credibility lost. Thus the approach is elementary enough to provide an introduction to the subject suitable for graduate students although research workers will find here much of interest.
Author: Michael Charles Crabb
Publisher: Cambridge University Press
ISBN: 0521280516
Category : Mathematics
Languages : en
Pages : 137
Get Book Here
Book Description
This account is a study of twofold symmetry in algebraic topology. The author discusses specifically the antipodal involution of a real vector bundle - multiplication by - I in each fibre; doubling and squaring operations; the symmetry of bilinear forms and Hermitian K-theory. In spite of its title, this is not a treatise on equivariant topology; rather it is the language in which to describe the symmetry. Familiarity with the basic concepts of algebraic topology (homotopy, stable homotopy, homology, K-theory, the Pontrjagin-Thom transfer construction) is assumed. Detailed proofs are not given (the expert reader will be able to supply them when necessary) yet nowhere is credibility lost. Thus the approach is elementary enough to provide an introduction to the subject suitable for graduate students although research workers will find here much of interest.
Author: P.J. Hilton
Publisher: Springer
ISBN: 3540372687
Category : Mathematics
Languages : en
Pages : 178
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Book Description
Author: M. G. Barratt
Publisher: Springer
ISBN: 3540358099
Category : Mathematics
Languages : en
Pages : 470
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Book Description
Author: Haynes R. Miller
Publisher: American Mathematical Soc.
ISBN: 0821850202
Category : Mathematics
Languages : en
Pages : 466
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Book Description
Author: Mark E. Mahowald
Publisher: American Mathematical Soc.
ISBN: 0821851020
Category : Mathematics
Languages : en
Pages : 366
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Book Description
This book will provide readers with an overview of some of the major developments in current research in algebraic topology. Representing some of the leading researchers in the field, the book contains the proceedings of the International Conference on Algebraic Topology, held at Northwestern University in March, 1988. Several of the lectures at the conference were expository and will therefore appeal to topologists in a broad range of areas. The primary emphasis of the book is on homotopy theory and its applications. The topics covered include elliptic cohomology, stable and unstable homotopy theory, classifying spaces, and equivariant homotopy and cohomology. Geometric topics--such as knot theory, divisors and configurations on surfaces, foliations, and Siegel spaces--are also discussed. Researchers wishing to follow current trends in algebraic topology will find this book a valuable resource.
Author: Federico Binda
Publisher: American Mathematical Soc.
ISBN: 147044898X
Category : Education
Languages : en
Pages : 288
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Book Description
This volume contains the proceedings of the Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry, held from May 14–18, 2018, at the Universität Duisburg-Essen, Essen, Germany. It constitutes an accessible yet swift introduction to a new and active area within algebraic geometry, which connects well with classical intersection theory. Combining both lecture notes aimed at the graduate student level and research articles pointing towards the manifold promising applications of this refined approach, it broadly covers refined enumerative algebraic geometry.
Author: E. Rees
Publisher: Cambridge University Press
ISBN: 0521339464
Category : Mathematics
Languages : en
Pages : 257
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Book Description
This 1987 volume presents a collection of papers given at the 1985 Durham Symposium on homotopy theory. They survey recent developments in the subject including localisation and periodicity, computational complexity, and the algebraic K-theory of spaces.
Author: Jaume Aguade
Publisher: Springer Science & Business Media
ISBN: 9783764365882
Category : Mathematics
Languages : en
Pages : 432
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Book Description
This book contains a collection of articles summarizing the state of knowledge in a large portion of modern homotopy theory. A call for articles was made on the occasion of an emphasis semester organized by the Centre de Recerca Matemà tica in Bellaterra (Barcelona) in 1998. The main topics treated in the book include abstract features of stable and unstable homotopy, homotopical localizations, p-compact groups, H-spaces, classifying spaces for proper actions, cohomology of discrete groups, K-theory and other generalized cohomology theories, configuration spaces, and Lusternik-Schnirelmann category.The book is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory. New research directions in topology are highlighted. Moreover, this informative and educational book serves as a welcome reference for many new results and recent methods.
Author: Mamoru Mimura
Publisher: Springer
ISBN: 3540469389
Category : Mathematics
Languages : en
Pages : 246
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Book Description
Author: Michael A. Hill
Publisher: Cambridge University Press
ISBN: 1108831443
Category : Mathematics
Languages : en
Pages : 881
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Book Description
A complete and definitive account of the authors' resolution of the Kervaire invariant problem in stable homotopy theory.
