Braids and Coverings

Braids and Coverings
Author: Vagn Lundsgaard Hansen
Publisher: Cambridge University Press
Total Pages: 208
Release: 1989-12-07
Genre: Mathematics
ISBN: 9780521387576

Essays develop the elementary theory of Artin Braid groups geometrically and via homotopy theory, discuss the link between knot theory and the combinatorics of braid groups through Markou's Theorem and investigate polynomial covering maps.

Knots, Links, Braids and 3-Manifolds

Knots, Links, Braids and 3-Manifolds
Author: Viktor Vasilʹevich Prasolov
Publisher: American Mathematical Soc.
Total Pages: 250
Release: 1997
Genre: Mathematics
ISBN: 0821808982

This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. The mathematical prerequisites are minimal compared to other monographs in this area. Numerous figures and problems make this book suitable as a graduate level course text or for self-study.

An Introduction to Contact Topology

An Introduction to Contact Topology
Author: Hansjörg Geiges
Publisher: Cambridge University Press
Total Pages: 8
Release: 2008-03-13
Genre: Mathematics
ISBN: 1139467956

This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.

Natural Hair Care and Braiding

Natural Hair Care and Braiding
Author: Diane Carol Bailey
Publisher: Milady Publishing Company
Total Pages: 300
Release: 1998
Genre: Business & Economics
ISBN: 9781562533168

Provides a history of Black hairstyles, and discusses sanitation and preventing bacterial infections in the hair salon, different types of scalp diseases and disorders, and braiding and sculpting techniques.

Handbook of Knot Theory

Handbook of Knot Theory
Author: William Menasco
Publisher: Elsevier
Total Pages: 502
Release: 2005-08-02
Genre: Mathematics
ISBN: 9780080459547

This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics

Braiding Technology for Textiles

Braiding Technology for Textiles
Author: Yordan Kyosev
Publisher: Elsevier
Total Pages: 419
Release: 2014-11-04
Genre: Technology & Engineering
ISBN: 0857099213

Braided fabrics are made by interlacing yarns or strips of fabric. Braiding produces a wide range of structures for technical textile applications from medical sutures to cables for anchoring ships. Written by one of the world's leading experts in the field, the book reviews the basic principles, design and processes used in braiding. The book also discusses specialised braiding techniques such as spiral braiding and lace technology. - Provides a solid foundation in the fundamentals of braiding design, processes and machinery - Covers the patterning of braided products and the structural and colour design of both flat and tubular braids - Reviews maypole braiding machines and mechanics

The Mathematical Theory of Knots and Braids

The Mathematical Theory of Knots and Braids
Author: S. Moran
Publisher: Elsevier
Total Pages: 309
Release: 2000-04-01
Genre: Computers
ISBN: 0080871933

This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and further necessary Topology are given in the book. The exposition is intended to enable an interested reader to learn the basics of the subject. Emphasis is placed on covering the theory in an algebraic way. The work includes quite a number of worked examples. The latter part of the book is devoted to previously unpublished material.

Advances in Braiding Technology

Advances in Braiding Technology
Author: Yordan Kyosev
Publisher: Woodhead Publishing
Total Pages: 610
Release: 2016-03-12
Genre: Technology & Engineering
ISBN: 0081004265

Braiding is the process of interlacing three or more threads or yarns in a diagonal direction to the product axis in order to obtain thicker, wider or stronger textiles or, in the case of overbraiding, in order to cover a profile. Braids are becoming the reinforcement of choice in composite manufacturing, and have found a range of technical applications in fields including medicine, candles, transport and aerospace. Building on the information provided in Prof. Kyosev's previous book, Braiding Technology for Textiles, this important title covers advanced technologies and new developments for the manufacture, applications and modelling of braided products. Part One covers the braiding of three-dimensional profiles, and includes a detailed overview of three-dimensional braiding technologies as well as chapters devoted to specific kinds of 3D braiding. Part Two addresses specialist braiding techniques and applications, and includes chapters reviewing the use of braids for medical textiles and candles. Part Three focuses on braiding techniques for ropes and Part Four reviews braiding for composites. The final part of the book considers modelling and simulation, and covers topics including overbraiding simulation, Finite Element Method (FEM) modelling and geometrical modelling. - Covers advanced braiding techniques, technical applications, and modelling and simulation of braided textiles. - Focused on the needs of the textile industry by offering suitable breadth and depth of coverage of a range of braiding manufacturing technology, applications and modelling techniques in a single volume. - Written by an eminent team of authors, composed of leading scientists and developers in the field who have a wealth of relevant, first-hand experience in braiding, and edited by a high-profile editor who is an expert in his field.

Leather Braiding

Leather Braiding
Author: Bruce Grant
Publisher: Schiffer Craft
Total Pages: 196
Release: 1950
Genre: Crafts & Hobbies
ISBN: 9780870330391

Leather Braiding has stood for more than forty years as the definitive book in its field. Grant's clearly written guide to the art of leather braiding contains detailed illustrations, step-by-step instructions, and a wealth of incidental, fascinating information. It makes accessible, to even the novice, serviceable and recreational uses of leather, from the simple but clever braided button to the elaborate results of thong appliqu . The book includes a historical perspective of leather and its function in society, a chapter on leather braiding tools, and a glossary of terms.

Braid Groups

Braid Groups
Author: Christian Kassel
Publisher: Springer Science & Business Media
Total Pages: 349
Release: 2008-06-28
Genre: Mathematics
ISBN: 0387685480

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices. Braid Groups will serve graduate students and a number of mathematicians coming from diverse disciplines.