191 books (10 pages) in this category

New Topological Invariants for Real- and Angle-Valued Maps

An Alternative to MorseNovikov Theory

by Dan Burghelea

<p>This book is about new topological invariants of real- and angle-valued maps inspired by Morse–Novikov theory, a chapter of topology, which has recently raised interest outside of mathematics; for example, in data analysis, shape recognition,

ISBN: 9789814618267

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New Trends in Intuitive Geometry

by Gergely Ambrus, Imre Bárány, Károly J. Böröczky & others

<p>This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to ...

ISBN: 9783662574133

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Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128)

by Ravenel, Douglas C.

<p> <i>Nilpotence and Periodicity in Stable Homotopy Theory</i> describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and ...

ISBN: 9781400882489

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Non-Associative Normed Algebras : Volume 2, Representation Theory and the Zel'manov Approach

by Miguel Cabrera García & Ángel Rodríguez Palacios

<p>This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This ...

ISBN: 9781108570763

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Non-Hausdorff Topology and Domain Theory

Selected Topics in Point-Set Topology

by Jean Goubault-Larrecq

<p>This unique book on modern topology looks well beyond traditional treatises and explores spaces that may, but need not, be Hausdorff. This is essential for domain theory, the cornerstone of semantics of computer languages, where the Scott ...

ISBN: 9781107327115

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Notes on Crystalline Cohomology. (MN-21)

by Berthelot, Pierre

<p>Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic ...

ISBN: 9781400867318

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On Knots. (AM-115)

by Kauffman, Louis H.

<p><i>On Knots</i> is a journey through the theory of knots, starting from the simplest combinatorial ideas--ideas arising from the representation of weaving patterns. From this beginning, topological invariants are constructed directly: first ...

ISBN: 9781400882137

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On the Topology and Future Stability of the Universe

by Hans Ringström

<p>The standard starting point in cosmology is the cosmological principle; the assumption that the universe is spatially homogeneous and isotropic. After imposing this assumption, the only freedom left, as far as the geometry is concerned, is ...

ISBN: 9780191669781

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Open Problems in the Geometry and Analysis of Banach Spaces

by Antonio J. Guirao, Vicente Montesinos & Václav Zizler

<p>This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors ...

ISBN: 9783319335728

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Periods and Nori Motives

by Annette Huber, Benjamin Friedrich, Jonas von Wangenheim & others

<p>This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s approach to mixed motives from scratch, thereby filling an important gap in the ...

ISBN: 9783319509266

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Perspectives in Lie Theory

by Filippo Callegaro, Giovanna Carnovale, Fabrizio Caselli & others

<p>Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. This book ...

ISBN: 9783319589718

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Piecewise Linear Structures on Topological Manifolds

by Yuli Rudyak

<p>The study of triangulations of topological spaces has always been at the root of geometric topology. Among the most studied triangulations are piecewise linear triangulations of high-dimensional topological manifolds. Their study culminated ...

ISBN: 9789814733809

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Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem

by Grant Walker & Reginald M. W. Wood

<p>This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of ...

ISBN: 9781108355933

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Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2)

by Grant Walker & Reginald M. W. Wood

<p>This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of ...

ISBN: 9781108355926

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Principles of Topology

by Fred H. Croom

<p>Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to ...

ISBN: 9780486810447

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Properties of Closed 3-Braids and Braid Representations of Links

by Alexander Stoimenow

<p>This book studies diverse aspects of braid representations via knots and links. Complete classification results are illustrated for several properties through Xu’s normal 3-braid form and the Hecke algebra representation theory of link ...

ISBN: 9783319681498

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Prospects in Topology (AM-138): Proceedings of a Conference in Honor of William Browder. (AM-138)

by Quinn, Frank

<p>This collection brings together influential papers by mathematicians exploring the research frontiers of topology, one of the most important developments of modern mathematics. The papers cover a wide range of topological specialties, ...

ISBN: 9781400882588

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$152.93

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Quandles and Topological Pairs

Symmetry, Knots, and Cohomology

by Takefumi Nosaka

<p>This book surveys quandle theory, starting from basic motivations and going on to introduce recent developments of quandles with topological applications and related topics. The book is written from topological aspects, but it illustrates how

ISBN: 9789811067938

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Real Submanifolds in Complex Space and Their Mappings (PMS-47)

by Baouendi, M. Salah

<p>This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students. The techniques in this area ...

ISBN: 9781400883967

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$186.17

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Recent Advances in Hodge Theory

Period Domains, Algebraic Cycles, and Arithmetic

by Matt Kerr & Gregory Pearlstein

<p>In its simplest form, Hodge theory is the study of periods – integrals of algebraic differential forms which arise in the study of complex geometry and moduli, number theory and physics. Organized around the basic concepts of variations of ...

ISBN: 9781316530672

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$95.70

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