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Author : J. M. Boardman
Release : 2006-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 999/5 ( reviews)
Book Synopsis Homotopy Invariant Algebraic Structures on Topological Spaces by : J. M. Boardman
Download or read book Homotopy Invariant Algebraic Structures on Topological Spaces written by J. M. Boardman. This book was released on 2006-11-15. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Pierre Meyer
Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 57X/5 ( reviews)
Book Synopsis Homotopy Invariant Algebraic Structures by : Jean-Pierre Meyer
Download or read book Homotopy Invariant Algebraic Structures written by Jean-Pierre Meyer. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the conference held in honor of J. Michael Boardman's 60th birthday. It brings into print his classic work on conditionally convergent spectral sequences. Over the past 30 years, it has become evident that some of the deepest questions in algebra are best understood against the background of homotopy theory. Boardman and Vogt's theory of homotopy-theoretic algebraic structures and the theory of spectra, for example, were two benchmark breakthroughs underlying the development of algebraic $K$-theory and the recent advances in the theory of motives. The volume begins with short notes by Mac Lane, May, Stasheff, and others on the early and recent history of the subject. But the bulk of the volume consists of research papers on topics that have been strongly influenced by Boardman's work. Articles give readers a vivid sense of the current state of the theory of "homotopy-invariant algebraic structures". Also included are two major foundational papers by Goerss and Strickland on applications of methods of algebra (i.e., Dieudonné modules and formal schemes) to problems of topology. Boardman is known for the depth and wit of his ideas. This volume is intended to reflect and to celebrate those fine characteristics.
Author : J. M. Boardman
Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 238/5 ( reviews)
Book Synopsis Homotopy Invariant Algebraic Structures on Topological Spaces by : J. M. Boardman
Download or read book Homotopy Invariant Algebraic Structures on Topological Spaces written by J. M. Boardman. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John M. Boardman
Release :
Genre : Homotopy theory
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Homotopy Invariant Algebraic Structures on Topological Spaces [by] J. M. Boardman [and] R. M. Vogt by : John M. Boardman
Download or read book Homotopy Invariant Algebraic Structures on Topological Spaces [by] J. M. Boardman [and] R. M. Vogt written by John M. Boardman. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Arne Østvær
Release : 2010-09-08
Genre : Mathematics
Kind : eBook
Book Rating : 65X/5 ( reviews)
Book Synopsis Homotopy Theory of C*-Algebras by : Paul Arne Østvær
Download or read book Homotopy Theory of C*-Algebras written by Paul Arne Østvær. This book was released on 2010-09-08. Available in PDF, EPUB and Kindle. Book excerpt: Homotopy theory and C* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions. The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications.
