Homotopy Invariant Algebraic Structures on Topological Spaces

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Release : 2006-11-15
Genre : Mathematics
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Book Rating : 999/5 ( reviews)

Homotopy Invariant Algebraic Structures on Topological Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Homotopy Invariant Algebraic Structures on Topological Spaces write by J. M. Boardman. This book was released on 2006-11-15. Homotopy Invariant Algebraic Structures on Topological Spaces available in PDF, EPUB and Kindle.

Homotopy Invariant Algebraic Structures

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Author :
Release : 1999
Genre : Mathematics
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Book Rating : 57X/5 ( reviews)

Homotopy Invariant Algebraic Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Homotopy Invariant Algebraic Structures write by Jean-Pierre Meyer. This book was released on 1999. Homotopy Invariant Algebraic Structures available in PDF, EPUB and Kindle. 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.

Homotopy Invariant Algebraic Structures on Topological Spaces

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Release : 2014-01-15
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Book Rating : 238/5 ( reviews)

Homotopy Invariant Algebraic Structures on Topological Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Homotopy Invariant Algebraic Structures on Topological Spaces write by J. M. Boardman. This book was released on 2014-01-15. Homotopy Invariant Algebraic Structures on Topological Spaces available in PDF, EPUB and Kindle.

Homotopy Invariant Algebraic Structures on Topological Spaces [by] J. M. Boardman [and] R. M. Vogt

Download Homotopy Invariant Algebraic Structures on Topological Spaces [by] J. M. Boardman [and] R. M. Vogt PDF Online Free

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Genre : Homotopy theory
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Book Rating : /5 ( reviews)

Homotopy Invariant Algebraic Structures on Topological Spaces [by] J. M. Boardman [and] R. M. Vogt - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Homotopy Invariant Algebraic Structures on Topological Spaces [by] J. M. Boardman [and] R. M. Vogt write by John M. Boardman. This book was released on . Homotopy Invariant Algebraic Structures on Topological Spaces [by] J. M. Boardman [and] R. M. Vogt available in PDF, EPUB and Kindle.

Homotopy Theory of C*-Algebras

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Release : 2010-09-08
Genre : Mathematics
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Book Rating : 65X/5 ( reviews)

Homotopy Theory of C*-Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Homotopy Theory of C*-Algebras write by Paul Arne Østvær. This book was released on 2010-09-08. Homotopy Theory of C*-Algebras available in PDF, EPUB and Kindle. 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.