5 edition of **Algebraic topology, Barcelona 1986** found in the catalog.

- 270 Want to read
- 36 Currently reading

Published
**1987**
by Springer-Verlag in Berlin, New York
.

Written in English

- Algebraic topology -- Congresses.

**Edition Notes**

Statement | J. Aguadé, R. Kane (eds.). |

Series | Lecture notes in mathematics ;, 1298, Lecture notes in mathematics (Springer-Verlag) ;, 1298. |

Contributions | Aguadé, J., Kane, R., Barcelona Conference on Algebraic Topology (2nd : 1986) |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 1298, QA612 .L28 no. 1298 |

The Physical Object | |

Pagination | x, 255 p. : |

Number of Pages | 255 |

ID Numbers | |

Open Library | OL2112567M |

ISBN 10 | 3540187294, 0387187294 |

LC Control Number | 88166688 |

out of 5 stars A fundamental book for algebraic topology. Reviewed in Italy on 3 May Verified Purchase. This is a must-have for the ones approaching Algebraic Topology. It is full of examples and counterexamples, and present the arguments in a geometry-flavoured way, with a very natural order. Really recommended/5(54). $\begingroup$ Algebraic Topology is a huge field, and it's virtually impossible I think to say "which areas of algebraic topology are the most interesting to begin to work with" -- if you are looking toward an eventual PhD, you will probably have to embark on an apprenticeship stage where you learn many basic tools and calculations, which can become quite elaborate.

gebraic topology into a one quarter course, but we were overruled by the analysts and algebraists, who felt that it was unacceptable for graduate students to obtain their PhDs without having some contact with algebraic topology. This raises a conundrum. A large number of students at Chicago go into topol-ogy, algebraic and Size: 1MB. • Geometric and algebraic topological methods can lead to non-equivalent quanti- zations of a classical system corresponding to diﬀerent values of topological invariants. Geometry and topology are by no means the primary scope of our book, but theyCited by:

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 Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains Cited by: 1. Modern algebraic topology. copy 3. Modern algebraic topology. copy 3. Modern algebraic topology. copy 3. - Full View | HathiTrust Digital Library | HathiTrust Digital Library. Skip to page content; Skip to text only view of this item; Skip to search in this text Permanent link to this book Link to this page. Embed this book. Version.

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Algebraic Topology Barcelona Proceedings of a Symposium held in Barcelona, April 2–8, : Algebraic Topology. Barcelona Proceedings of a Symposium held in Barcelona, April(Lecture Notes in Mathematics) (): J.

Aguade, R. Kane: Books. Algebraic Topology. Barcelona Proceedings of a Symposium held in Barcelona, AprilEditors: Aguade, J., Kane, R. (Eds.) Free Preview. Get this from a library.

Algebraic topology, Barcelona proceedings of a symposium held in Barcelona, April[J Aguadé; R Kane;]. ISBN: OCLC Barcelona 1986 book Language Note: Articles in English and French. Notes: Some contributions in French.

"The Second Barcelona Conference on Algebraic Topology was held April at the Institut d'Estudis Catalans, Barcelona."--Page [v]. 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. Cite this paper as: Dwyer W.G., Miller H.R., Wilkerson C.W. () The homotopic uniqueness of BS : Aguadé J., Kane R. (eds) Algebraic Topology Barcelona Cited by: This book was an incredible step forward when it was written ().

Lefschetz's Algebraic Topology (ColloquiumVol 27) was the main text at the time.A large number of other good to great books on the subject have appeared since then, so a review for current readers needs to address two separate issues: its suitability as a textbook and its mathematical content/5(4).

$\begingroup$ Hatcher's book is very well-written Algebraic topology a good combination of motivation, intuitive explanations, and rigorous details. It would be worth a decent price, so it is very generous of Dr.

Hatcher to provide the book for free download. But if you want an alternative, Greenberg and Harper's Algebraic Topology covers the theory in a straightforward and comprehensive manner.

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence. Although algebraic topology primarily uses algebra to study topological problems, using topology to solve algebraic problems.

In most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.4/5(7).

This book was written to be a readable introduction to algebraic topology with rather broad coverage of the subject. The viewpoint is quite classical in spirit, and stays well within the conﬁnes of pure algebraic topology. In a sense, the book could have been written thirty or forty years ago since virtually everything in it is at least that old.

Homology and cohomology were invented in (what's now called) the de Rham context, where cohomology classes are (classes of) differential forms and homology classes are (classes of) domains you can integrate them over.

I think it's basically impos. There's a great book called Lecture Notes in Algebraic Topology by Davis and Kirk which I highly recommend for advanced beginners, especially those who like the categorical viewpoint and homological algebra.

I think the treatment in Spanier is a bit outdated. A suitable reference at this level would be for instance M. Armstrong's book "Basic Topology". It is right that this should be a short article, directing readers quickly to Euler Characteristic, Homology theory, Homotopy, Fundamental group.

Even better might be to merge the article Homology theory into a newly-rewritten Algebraic topology. This section provide information on the course textbook and a list of suggested readings and references. Subscribe to the OCW Newsletter We will loosely follow the book: and C. Wilkerson.

"The Homotopic Uniqueness of BS 3, in 'Algebraic Topology, Barcelona '" Lecture Notes in Math (Springer, Berlin, ): Abstract algebra; should be comfortable with groups especially, as well as other structures. General topology; the stuff one would learn from Munkre’s book—set theory, metric spaces, topological spaces, contentedness, etc.

Being solid in linear al. Algebraic Topology by NPTEL. This is a basic note in algebraic topology, it introduce the notion of fundamental groups, covering spaces, methods for computing fundamental groups using Seifert Van Kampen theorem and some applications such as the Brouwer’s fixed point theorem, Borsuk Ulam theorem, fundamental theorem of algebra.

A first course in Algebraic Topology, with emphasis on visualization, geometric intuition and simplified computations. Given by Prof N J Wildberger at UNSW. All in all, I think Basic Algebraic Topology is a good graduate text: the book is well-written and there are many well-chosen examples and a decent number of exercises.

It meets its ambitious goals and should succeed in leading a lot of solid graduate students, as well as working mathematicians from other specialties seeking to learn this. Algebraic Topology. Barcelona Proceedings of a Symposium Held in Barcelona, April点击放大图片 出版社: Springer.

作者: Aguade, J.; Kane, R.; 出版时间: 年12月23 日. 10位国际标准书号: 13位国际标准. Great introduction to algebraic topology. For those who have never taken a course or read a book on topology, I think Hatcher's book is a decent starting point.

However, (IMO) you should have a working familiarity with Euclidean Geometry, College Algebra, Logic or Discrete Math, and Set Theory before attempting this book/5.Book Description.

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology.

The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and simplicial complexes.