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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 : 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 : 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 : Jonathan A. Barmak
Release : 2011-08-24
Genre : Mathematics
Kind : eBook
Book Rating : 037/5 ( reviews)
Book Synopsis Algebraic Topology of Finite Topological Spaces and Applications by : Jonathan A. Barmak
Download or read book Algebraic Topology of Finite Topological Spaces and Applications written by Jonathan A. Barmak. This book was released on 2011-08-24. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the theory of finite topological spaces and its relationship with the homotopy and simple homotopy theory of polyhedra. The interaction between their intrinsic combinatorial and topological structures makes finite spaces a useful tool for studying problems in Topology, Algebra and Geometry from a new perspective. In particular, the methods developed in this manuscript are used to study Quillen's conjecture on the poset of p-subgroups of a finite group and the Andrews-Curtis conjecture on the 3-deformability of contractible two-dimensional complexes. This self-contained work constitutes the first detailed exposition on the algebraic topology of finite spaces. It is intended for topologists and combinatorialists, but it is also recommended for advanced undergraduate students and graduate students with a modest knowledge of Algebraic Topology.
