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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 : 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 : 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 : 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 : Haynes Miller
Release : 2020-01-23
Genre : Mathematics
Kind : eBook
Book Rating : 619/5 ( reviews)
Book Synopsis Handbook of Homotopy Theory by : Haynes Miller
Download or read book Handbook of Homotopy Theory written by Haynes Miller. This book was released on 2020-01-23. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.
