Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

Advances in Two-Dimensional Homotopy and Combinatorial Group Theory
Title Advances in Two-Dimensional Homotopy and Combinatorial Group Theory PDF eBook
Author Wolfgang Metzler
Publisher Cambridge University Press
Pages 193
Release 2018
Genre Mathematics
ISBN 1316600904

Download Advances in Two-Dimensional Homotopy and Combinatorial Group Theory Book in PDF, Epub and Kindle

Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.

Two-Dimensional Homotopy and Combinatorial Group Theory

Two-Dimensional Homotopy and Combinatorial Group Theory
Title Two-Dimensional Homotopy and Combinatorial Group Theory PDF eBook
Author Cynthia Hog-Angeloni
Publisher
Pages 428
Release 1994
Genre Combinatorial group theory
ISBN 9781107366848

Download Two-Dimensional Homotopy and Combinatorial Group Theory Book in PDF, Epub and Kindle

This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory.

Two-Dimensional Homotopy and Combinatorial Group Theory

Two-Dimensional Homotopy and Combinatorial Group Theory
Title Two-Dimensional Homotopy and Combinatorial Group Theory PDF eBook
Author Cynthia Hog-Angeloni
Publisher Cambridge University Press
Pages 428
Release 1993-12-09
Genre Mathematics
ISBN 0521447003

Download Two-Dimensional Homotopy and Combinatorial Group Theory Book in PDF, Epub and Kindle

Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers.

Classical Topology and Combinatorial Group Theory

Classical Topology and Combinatorial Group Theory
Title Classical Topology and Combinatorial Group Theory PDF eBook
Author John Stillwell
Publisher Springer Science & Business Media
Pages 344
Release 2012-12-06
Genre Mathematics
ISBN 1461243726

Download Classical Topology and Combinatorial Group Theory Book in PDF, Epub and Kindle

In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment "undergraduate topology" proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the historical development where practicable, since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus from geometric recreations like the seven bridges; rather, it resulted from the l'isualization of problems from other parts of mathematics-complex analysis (Riemann), mechanics (Poincare), and group theory (Dehn). It is these connec tions to other parts of mathematics which make topology an important as well as a beautiful subject.

Homological Group Theory

Homological Group Theory
Title Homological Group Theory PDF eBook
Author Charles Terence Clegg Wall
Publisher Cambridge University Press
Pages 409
Release 1979-12-27
Genre Mathematics
ISBN 0521227291

Download Homological Group Theory Book in PDF, Epub and Kindle

Eminent mathematicians have presented papers on homological and combinatorial techniques in group theory. The lectures are aimed at presenting in a unified way new developments in the area.

Combinatorial Homotopy and 4-Dimensional Complexes

Combinatorial Homotopy and 4-Dimensional Complexes
Title Combinatorial Homotopy and 4-Dimensional Complexes PDF eBook
Author Hans-Joachim Baues
Publisher Walter de Gruyter
Pages 409
Release 2011-05-12
Genre Mathematics
ISBN 3110854481

Download Combinatorial Homotopy and 4-Dimensional Complexes Book in PDF, Epub and Kindle

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Geometry, Combinatorial Designs and Related Structures

Geometry, Combinatorial Designs and Related Structures
Title Geometry, Combinatorial Designs and Related Structures PDF eBook
Author J. W. P. Hirschfeld
Publisher Cambridge University Press
Pages 269
Release 1997-08-14
Genre Mathematics
ISBN 052159538X

Download Geometry, Combinatorial Designs and Related Structures Book in PDF, Epub and Kindle

This volume examines state of the art research in finite geometries and designs.