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Algebraic Topology: New Trends in Localization and Periodicity

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 184/5 ( reviews)

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Book Synopsis Algebraic Topology: New Trends in Localization and Periodicity by : Carles Broto

Download or read book Algebraic Topology: New Trends in Localization and Periodicity written by Carles Broto. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change of late and is yielding new insight into the mysteries of classical homotopy theory. The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de Guíxols, Spain, in June 1994. Several comprehensive articles on general localization clarify the basic tools and give a report on the state of the art in the subject matter. The text is therefore accessible not only to the professional mathematician but also to the advanced student.

Current Trends in Algebraic Topology

1982-01-01 Mathematics
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Release : 1982-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 038/5 ( reviews)

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Book Synopsis Current Trends in Algebraic Topology by : Richard M. Kane

Download or read book Current Trends in Algebraic Topology written by Richard M. Kane. This book was released on 1982-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a Conference held at the University of Western Ontario in 1981. More than one hundred papers were presented by researchers from a wide spectrum of countries and institutions.

Homotopy Invariant Algebraic Structures

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

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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.

Algebraic Topology and Related Topics

2019-02-02 Mathematics
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Release : 2019-02-02
Genre : Mathematics
Kind : eBook
Book Rating : 420/5 ( reviews)

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Book Synopsis Algebraic Topology and Related Topics by : Mahender Singh

Download or read book Algebraic Topology and Related Topics written by Mahender Singh. This book was released on 2019-02-02. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.

Une Degustation Topologique: Homotopy Theory in the Swiss Alps

2000 Mathematics
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Release : 2000
Genre : Mathematics
Kind : eBook
Book Rating : 788/5 ( reviews)

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Book Synopsis Une Degustation Topologique: Homotopy Theory in the Swiss Alps by : Dominique Arlettaz

Download or read book Une Degustation Topologique: Homotopy Theory in the Swiss Alps written by Dominique Arlettaz. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: The talks given at the Arolla Conference on Algebraic Topology covered a broad spectrum of current research in homotopy theory, offering participants the possibility to sample and relish selected morsels of homotopy theory, much as a participant in a wine tasting partakes of a variety of fine wines. True to the spirit of the conference, the proceedings included in this volume present a savory sampler of homotopical delicacies. Readers will find within these pages a compilation of articles describing current research in the area, including classical stable and unstable homotopy theory, configuration spaces, group cohomology, K-theory, localization, p-compact groups, and simplicial theory.

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