5 edition of **Algebraic Topology Based on Knots (Series on Knots and Everything)** found in the catalog.

Algebraic Topology Based on Knots (Series on Knots and Everything)

Jozef H. Przytycki

- 260 Want to read
- 28 Currently reading

Published
**August 30, 2008**
by World Scientific Publishing Company
.

Written in English

- Algebraic Topology,
- Algebraic geometry,
- Mathematics,
- Science/Mathematics,
- Topology - General,
- Geometry - Algebraic

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 300 |

ID Numbers | |

Open Library | OL13168066M |

ISBN 10 | 9810236220 |

ISBN 10 | 9789810236229 |

Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated and modern treatment of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. The presentation of the homotopy theory and the account of duality in homology manifolds make the text ideal for a course on either homotopy or homology idea of 5/5(2). In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises.

The purpose of this book is to help the aspiring reader acquire this essential common sense about algebraic topology in a short period of time. To this end, Sato leads the reader through simple but meaningful examples in The single most difficult thing one faces when one begins to learn a new branch of mathematics is to get a feel for the /5(1). The prerequisites for a course based on this book include a working knowledge of basic point-set topology, the deﬁnition of CW-complexes, fun-damental group/covering space theory, and the constructionofsingularho-mology including the Eilenberg-Steenrod axioms. In Chapter8,familiarity with the basic results of diﬀerential topology is helpful.

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 the. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, .

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The book closes with a discussion of high-dimensional knot theory and a presentation of some of the recent advances in the subject - the Conway, Jones and Kauffman polynomials.

A supplementary section presents the fundamental group, which is a centerpiece of algebraic topology/5(4). A downloadable textbook in algebraic topology. What's in the Book. To get an idea you can look at the Table of Contents and the Preface. Printed Version: The book was published by Cambridge University Press in in both paperback and hardback editions, but only the paperback version is currently available (ISBN ).

I have tried very hard to keep the price of the paperback. Algebraic Topology. This book, published inis a beginning graduate-level textbook on algebraic topology from a fairly classical point of view. To find out more or to download it in electronic form, follow this link to the download page.

This book is mainly concerned with knots in the high dimensions n≥ 4, for which there is a much closer correspondence between this type of algebra and the topology than in the low dimensions n = 1, 2, 3.

Knot theory is a rapidly developing field of research with many applications, not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today's most recent research results.

An indispensable book for everyone concerned with knot theory. Basic Math Library List at Wikia Recent changes All pages Subpages Connections Editing tutorial [refresh ] Contents[show] Headline This is a section of the Basic Math Library List Please help improve the article.

Tags: (Use similar tags to highlight your recommendations.) Essential and Recommended for the selected books on the final list. ***, ** and * for books recommended by MAA's list. A.H. Finally, there's Algebraic Topology from a Homotopical Viewpoint by Marcelo Aguilar, Samuel Gitler, Carlos Prieto.

As the title suggests, it is based on homotopy theory. The other answer suggests Spanier's Algebraic topology. It was published inbut it's still a great reference.

Algebraic topology (Combinatorial Topology) Study of topologies for the solution is based on reason alone, and its discovery does not depend on any mathematical principle. Because of this, I do Knots up to 7 crossings reduced to 8 di erent knots Periodic table of knot elements [Mendeleev - ].

The book begins with an article on the applications of knot theory to the foundations of mathematics and ends with an article on topology and visual perception. This volume will be of immense interest to all workers interested in new possibilities in the uses of knots and knot theory. Knots, Low-Dimensional Topology and Applications.

Popular Algebraic Topology Books 25+ [Hand Picked] Popular Books On Algebraic Topology "Algebraic Topology Based on Knots, Series on Knots and Everything - Vol 18" By Jozef H Przytycki Rating: /5. I WANT TO READ THIS.

CHECK IT OUT. Topological Algebras By Anastasios Mallios Rating: /5. I WANT TO READ THIS. The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors’ nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.

Based on what you have said about your background, you will find Peter May's book "A Concise Course in Algebraic Topology" an appropriate read. Peter does not shy away from using categorical or homological machinery when dealing with this material, but also encourages his reader to become adept at the sort of calculations which yield insight.

Catalog. Art & Design; Business; Children Books; Computing; Engineering & Technology; Fiction & Literature; General; Health & Wellness; Herschel Products. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read.

Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. Algebraic and geometric Topology. This note covers the following topics: Semifree finite group actions on compact manifolds, Torsion in L-groups, Higher diagonal approximations and skeletons of K(\pi,1)'s, Evaluating the Swan finiteness obstruction for finite groups, A nonconnective delooping of algebraic K-theory, The algebraic theory of torsion, Equivariant Moore spaces, Triviality of the.

This book highlights the latest advances on algebraic topology ranging from homotopy theory, braid groups, configuration spaces, toric topology, transformation groups, and knot theory and includes papers presented at the 7th East Asian Conference on Algebraic Topology held at IISER, Mohali, India.

Topology Books / Algebraic Topology; Algebraic Topology. Add to Wishlist. Algebraic Topology. By: C. Maunder. Book; Reg.

Price › $; Share this book: Product Description; Product Details; Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated and modern treatment of elementary.

Ah ha great question. Undoubtedly, the best reference on topology is "Topology" by Munkres: Yes. Invariants. A second agenda in topology is the development of tools to tell topological spaces apart. How is the M obius band to be distinguished from the cylinder, or the trefoil not from the gure{eight knot, or indeed how is R3 di erent from R4.

Our introduction to the tools of algebraic topology provides one approach to answer these questions. Part 2 is an introduction to knot theory with an emphasis on invariants.

Part 3 presents applications of topology and geometry to molecular symmetries, DNA, and proteins. Each chapter ends with exercises that allow for better understanding of the material. The style of the book Reviews: 3. Peter May said famously that algebraic topology is a subject poorly served by its textbooks.

Sadly, I have to agree. Although we have a freightcar full of excellent first-year algebraic topology texts - both geometric ones like Allen Hatcher's and algebraic-focused ones like the one by Rotman and more recently, the beautiful text by tom Dieck (which I'll be reviewing for MAA Online in 2 weeks.Another branch of algebraic topology that is involved in the study of three-dimensional manifolds is knot theory, the study of the ways in which knotted copies of a circle can be embedded in three-dimensional space.Topology.

The mathematical study of shapes and topological spaces, topology is one of the major branches of mathematics. We publish a variety of introductory texts as well as studies of the many subfields: general topology, algebraic topology, differential topology, geometric topology, combinatorial topology, knot theory, and more.