Peter May's book is great and freely available online.I realize you're not recommending it as someone's introduction to algebraic topology, but even so, reader beware: "concise" is a euphemism for "dense enough to sink a ship.". Allen Hatcher and William Thurston, A presentation for the mapping class group of a closed orientable surface, Topology 19 (), no. 3, — Allen Hatcher, On the boundary curves of incompressible surfaces, Pacific Journal of Mathematics 99 (), no. 2, —Alma mater: Stanford University. Mar 14, · Algebraic topology is a vast ocean of results. What belongs to the fundamentals is, quite expectedly, to some degree a matter of taste. The choice of topics covered in the book under review falls under what one may call classical algebraic topology. Get this from a library! Algebraic topology. [Allen Hatcher] -- '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.

set topology, which is concerned with the more analytical and aspects of the theory. Part II is an introduction to algebraic topology, which associates algebraic structures such as groups to topological spaces. We will follow Munkres for the whole course, with . Dec 03, · One anticipates the combined treatise doing for algebraic topology what Michael Spivak's magisterial five-volume set did for differential geometry." Choice Book Description. 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.5/5(6). Algebraic and Classical Topology contains all the published mathematical work of J. H. C. Whitehead, written between and This volume is composed of 21 chapters, which represent two groups of papers. The first group, written between and , is principally concerned with fiber spaces and the Spanier-Whitehead S-theory. Dec 23, · This book deals with a hard subject, but every effort has been made to explain and motivate the ideas involved before they are dealt with rigorously. Often done with simple examples, this gives an opportunity to get comfortable with them first and makes this book about as readable as a book on algebraic topology can be/5(6).

Hatcher’s Algebraic Topology is a perfectly fine book. It covers most of what an introductory graduate course on the subject typically strives to discuss (as well as many advanced topics), which is one reason it is among the standard, maybe even t. Dec 01, · Read "Algebraic Topology A First Course" by William Fulton available from Rakuten Kobo. To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emp Brand: Springer New York. 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 /5(3).