Combinatorial Methods In Topology And Algebra

Author : Bruno Benedetti,Emanuele Delucchi,Luca Moci
Publisher : Springer
Page : 227 pages
File Size : 41,8 Mb
Release : 2015-10-31
Category : Mathematics
ISBN : 9783319201559

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Combinatorial Methods in Topology and Algebra by Bruno Benedetti,Emanuele Delucchi,Luca Moci Pdf

Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory. The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.

Author : Anonim
Publisher : American Mathematical Soc.
Page : 350 pages
File Size : 45,6 Mb
Release : 1985
Category : Combinatorial analysis
ISBN : 0821853953

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Combinatorial methods in topology and algebraic geometry by Anonim Pdf

Author : John R. Harper,Richard Mandelbaum
Publisher : American Mathematical Soc.
Page : 372 pages
File Size : 55,5 Mb
Release : 1985
Category : Mathematics
ISBN : 0821850393

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Combinatorial Methods in Topology and Algebraic Geometry by John R. Harper,Richard Mandelbaum Pdf

A survey of the areas where combinatorial methods have proven especially fruitful: topology and combinatorial group theory, knot theory, 3-manifolds, homotopy theory and infinite dimensional topology, and four manifolds and algebraic surfaces.

Author : Dimitry Kozlov
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 55,8 Mb
Release : 2008-01-08
Category : Mathematics
ISBN : 3540730516

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Combinatorial Algebraic Topology by Dimitry Kozlov Pdf

This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.

Author : Vladimir Shpilrain,Alexander Mikhalev,Jie-tai Yu
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 40,6 Mb
Release : 2012-11-12
Category : Mathematics
ISBN : 9780387217246

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Combinatorial Methods by Vladimir Shpilrain,Alexander Mikhalev,Jie-tai Yu Pdf

The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century.

Author : Ashish K. Srivastava,André Leroy,Ivo Herzog,Pedro A. Guil Asensio
Publisher : American Mathematical Soc.
Page : 357 pages
File Size : 52,6 Mb
Release : 2020-06-23
Category : Education
ISBN : 9781470443689

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Categorical, Homological and Combinatorial Methods in Algebra by Ashish K. Srivastava,André Leroy,Ivo Herzog,Pedro A. Guil Asensio Pdf

This book contains the proceedings of the AMS Special Session, in honor of S. K. Jain's 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held from March 16–18, 2018, at Ohio State University, Columbus, Ohio. The articles contained in this volume aim to showcase the current state of art in categorical, homological and combinatorial aspects of algebra.

Author : Daniel E. Cohen
Publisher : Cambridge University Press
Page : 325 pages
File Size : 54,7 Mb
Release : 1989-08-17
Category : Mathematics
ISBN : 9780521341332

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Combinatorial Group Theory by Daniel E. Cohen Pdf

In this book the author aims to show the value of using topological methods in combinatorial group theory.

Author : Antonio Giambruno,Amitai Regev,Mikhail Zaicev
Publisher : CRC Press
Page : 442 pages
File Size : 54,5 Mb
Release : 2003-05-20
Category : Mathematics
ISBN : 0203911547

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Polynomial Identities And Combinatorial Methods by Antonio Giambruno,Amitai Regev,Mikhail Zaicev Pdf

Polynomial Identities and Combinatorial Methods presents a wide range of perspectives on topics ranging from ring theory and combinatorics to invariant theory and associative algebras. It covers recent breakthroughs and strategies impacting research on polynomial identities and identifies new concepts in algebraic combinatorics, invariant and representation theory, and Lie algebras and superalgebras for novel studies in the field. It presents intensive discussions on various methods and techniques relating the theory of polynomial identities to other branches of algebraic study and includes discussions on Hopf algebras and quantum polynomials, free algebras and Scheier varieties.

Author : Donald W. Blackett
Publisher : Academic Press
Page : 237 pages
File Size : 46,8 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483262536

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Elementary Topology by Donald W. Blackett Pdf

Elementary Topology: A Combinatorial and Algebraic Approach focuses on the application of algebraic methods to topological concepts and theorems. The publication first elaborates on some examples of surfaces and their classifications. Discussions focus on combinatorial invariants of a surface, combinatorial equivalence, surfaces and their equations, topological surfaces, coordinates on a sphere and torus, and properties of the sphere and torus. The text then examines complex conics and covering surfaces and mappings into the sphere, including applications of the winding number in complex analysis, mappings into the plane, winding number of a plane curve, covering surfaces, and complex conies. The book examines vector fields, network topology, and three-dimensional topology. Topics include topological products and fiber bundles, manifolds of configurations, paths, circuits, and trees, vector fields and hydrodynamics, vector fields on a sphere, and vector fields and differential equations. The publication is highly recommended for sophomores, juniors, and seniors who have completed a year of calculus.

Author : Jonathan L. Gross
Publisher : CRC Press
Page : 664 pages
File Size : 55,7 Mb
Release : 2016-04-19
Category : Computers
ISBN : 9781584887447

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Combinatorial Methods with Computer Applications by Jonathan L. Gross Pdf

Combinatorial Methods with Computer Applications provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. Requiring only a foundation in discrete mathematics, it can serve as the textbook in a combinat

Author : Michael Henle
Publisher : Courier Corporation
Page : 340 pages
File Size : 52,8 Mb
Release : 1994-01-01
Category : Mathematics
ISBN : 0486679667

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A Combinatorial Introduction to Topology by Michael Henle Pdf

Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.

Author : Viktor Vasilʹevich Prasolov
Publisher : American Mathematical Soc.
Page : 348 pages
File Size : 47,6 Mb
Release : 2006
Category : Combinatorial topology
ISBN : 9780821838099

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Elements of Combinatorial and Differential Topology by Viktor Vasilʹevich Prasolov Pdf

Modern topology uses very diverse methods. This book is devoted largely to methods of combinatorial topology, which reduce the study of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth manifolds and smooth maps. Many topological problems can be solved by using either of these two kinds of methods, combinatorial or differential. In such cases, both approaches are discussed. One of the maingoals of this book is to advance as far as possible in the study of the properties of topological spaces (especially manifolds) without employing complicated techniques. This distinguishes it from the majority of other books on topology. The book contains many problems; almost all of them are suppliedwith hints or complete solutions.

Author : V.G. Boltyanskii,V.A. Efremovich
Publisher : Springer Science & Business Media
Page : 160 pages
File Size : 41,9 Mb
Release : 2001-03-30
Category : Mathematics
ISBN : 0387951148

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Intuitive Combinatorial Topology by V.G. Boltyanskii,V.A. Efremovich Pdf

Topology is a relatively young and very important branch of mathematics, which studies the properties of objects that are preserved through deformations, twistings, and stretchings. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. This book is well suited for readers who are interested in finding out what topology is all about.

Author : S. M. Gersten,John R. Stallings
Publisher : Princeton University Press
Page : 560 pages
File Size : 46,7 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882083

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Combinatorial Group Theory and Topology. (AM-111), Volume 111 by S. M. Gersten,John R. Stallings Pdf

Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of Combinatorial Group Theory and Topology. The work includes papers from a conference held in July 1984 at Alta Lodge, Utah. Contributors to the book include Roger Alperin, Hyman Bass, Max Benson, Joan S. Birman, Andrew J. Casson, Marshall Cohen, Donald J. Collins, Robert Craggs, Michael Dyer, Beno Eckmann, Stephen M. Gersten, Jane Gilman, Robert H. Gilman, Narain D. Gupta, John Hempel, James Howie, Roger Lyndon, Martin Lustig, Lee P. Neuwirth, Andrew J. Nicas, N. Patterson, John G. Ratcliffe, Frank Rimlinger, Caroline Series, John R. Stallings, C. W. Stark, and A. Royce Wolf.

Author : Pavel S. Aleksandrov
Publisher : Courier Corporation
Page : 676 pages
File Size : 44,6 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 0486401790

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Combinatorial Topology by Pavel S. Aleksandrov Pdf

Clearly written, well-organized, 3-part text begins by dealing with certain classic problems without using the formal techniques of homology theory and advances to the central concept, the Betti groups. Numerous detailed examples.