Cover of: A first course in algebraic topology | Czes Kosniowski

A first course in algebraic topology

  • 269 Pages
  • 3.62 MB
  • 3088 Downloads
  • English
by
Cambridge University Press , Cambridge [Eng.], New York
Algebraic top
StatementCzes Kosniowski.
Classifications
LC ClassificationsQA612 .K67
The Physical Object
Paginationviii, 269 p. :
ID Numbers
Open LibraryOL4425885M
ISBN 100521231957, 0521298644
LC Control Number79041682

The book is a very well written introduction to algebraic topology.

Details A first course in algebraic topology EPUB

It presents the main basic results, provides geometric insights and computational tools. After reading it one really feels confident and one whishes to go further: the book really is what the title says. It is therefore perfectly suited for a first by: This book is an introduction to algebraic topology that is written by a master expositor.

Many books on algebraic topology are written much too formally, and this makes the subject difficult to learn for students or maybe physicists who need insight, and not just functorial constructions, in order to learn or apply the subject.4/5(12).

To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re­ lations of these ideas with other areas of mathematics.

Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular. Buy A First Course in Algebraic Topology on FREE SHIPPING on qualified orders A First Course in Algebraic Topology: A.

Lahiri: : Books Skip to main content5/5(1). A First Course in Algebraic Topology - Czes Kosniowski - Google Books This self-contained introduction to algebraic topology is suitable for a number of topology courses.5/5(1).

To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re lations of these ideas with other areas of mathematics.

Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ ential topology, A first course in algebraic topology book, we concentrate our attention on 5/5(1). The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology; an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70).

The material from the two earlier books has been substantially revised, corrected, and brought up 5/5(2). Algebraic Topology: A First Course | William Fulton (auth.) | download | B–OK. Download books for free.

Download A first course in algebraic topology FB2

Find books. The main purpose of this book is to give a systematic treatment of singular homology and cohomology theory. It is in some sense a sequel to the author's previous book in this Springer-Verlag series entitled Algebraic Topology: An Introduction.

This earlier book is definitely not a logical prerequisite for the present volume. However, it would certainly be advantageous for a prospective reader 5/5(3).

This book arose from courses taught by the authors, and is designed for both instructional and reference use during and after a first course in algebraic topology. It is a handbook for users who want to calculate, but whose main interests are in applications using the current literature, rather than in developing the theory.

Algebraic Topology. A First Course "Fulton has done genuine service for the mathematical community by writing a text on algebraic topology which is genuinely different from the existing texts.

Each time a text such as this is published we more truly have a real choice when we pick a book for a course 4/5(12). This self-contained introduction to algebraic topology is suitable for a number of topology courses.

It consists of about one quarter 'general topology' (without its usual pathologies) and three quarters 'algebraic topology' (centred around the fundamental group, a readily grasped topic which gives a good idea of what algebraic topology is).

general topology is assumed, making it especially suitable for a first course in topology with the main emphasis on algebraic topology. Using this book, a lecturer will have much freedom in designing an undergraduate or low level postgraduate course.

Throughout the book there are numerous exercises of varying degree to aid and tax the reader. This is an expanded and much improved revision of Greenberg's Lectures on Algebraic Topology (Benjamin ), Harper adding 76 pages to the original, most of which remains intact in this version. Greenberg's book was most notable for its emphasis on the Eilenberg-Steenrod axioms for any homology theory and for the verification of those axioms 5/5(1).

A First Course in Algebraic Topology by Kosniowski, Czes and a great selection of related books, art and collectibles available now at - A First Course in Algebraic Topology by Kosniowski, Czes - AbeBooks.

Book Description. Great first book on algebraic topology. Introduces (co)homology through singular theory. It consists of about one quarter 'general topology' (without its usual pathologies) and three quarters 'algebraic topology' (centred around the fundamental group, a readily grasped topic which gives a good idea of what algebraic topology is).

The book has emerged from cours/5. "A First Course in Algebraic Topology starts with the basic notions of category, functors and homotopy of continuous mappings including relative homotopy. Fundamental groups of circles and torus have been treated along with the fundamental group of covering spaces.

This self-contained introduction to algebraic topology is suitable for a number of topology courses. It consists of about one quarter 'general topology' (without its usual pathologies) and three quarters 'algebraic topology' (centred around the fundamental group, a readily grasped topic which gives a good idea of what algebraic topology is).Cited by:   Algebraic Topology: A First Course (Graduate Texts in Mathematics Book ) eBook: Fulton, William: : Kindle Store.

This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re- lations of these ideas with other areas of mathematics.

Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ- ential topology, etc.), we /5(5). Algebraic Topology by Fulton, William (ebook) Algebraic Topology: A First Course (Graduate Texts in Mathematics series) by William Fulton.

The only prerequisites are some group theory, such as that normally contained in an undergraduate algebra course on the junior/senior level, and a one-semester undergraduate course in general topology. From the reviews: "This book is highly recommended: as a textbook for a first course in algebraic topology and as a book for selfstudy.

Algebraic Topology. A First Course "Fulton has done genuine service for the mathematical community by writing a text on algebraic topology which is genuinely different from the existing texts. Each time a text such as this is published we more truly have a real choice when we pick a book for a course 4/5(4).

Algebraic topology: a first course | Marvin J. Greenberg, John R. Harper | download | B–OK. Download books for free. Find books. This self-contained introduction to algebraic topology is suitable for a number of topology courses.

It has been written at a level which will enable the reader to use it for self-study as well as a course book. 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 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.

Books on CW complexes 4. Differential forms and Morse theory 5. Equivariant algebraic topology 6.

Description A first course in algebraic topology FB2

Category theory and homological algebra 7. Simplicial sets in algebraic topology 8. The Serre spectral sequence and Serre class theory 9. The Eilenberg-Moore spectral sequence Cohomology operations Vector. If you would like to learn algebraic topology very well, then I think that you will need to learn some point-set topology.

I would recommend you to read chapters of Topology: A First Course by James Munkres for the elements of point-set topology. If you would like to learn algebraic topology as soon as possible, then you should perhaps read this text selectively.

To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re lations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ ential topology, etc.), we concentrate our attention on.If you are taking a first course on Algebraic Topology.

John Lee's book Introduction to Topological Manifolds might be a good reference. It contains sufficient materials that build up the necessary backgrounds in general topology, CW complexes, free groups, free products, etc.basic course in algebraic topology a Posted By Richard Scarry Publishing TEXT ID Online PDF Ebook Epub Library Basic Course In Algebraic Topology A INTRODUCTION: #1 Basic Course In ~ Free Book Basic Course In Algebraic Topology A ~ Uploaded By Richard Scarry, this textbook is intended for a course in algebraic topology at the beginning graduate.