Algebraic Topology 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 sel
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 four main chapters present the basics fundamental group and covering spaceIn 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 four main chapters present the basics fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally The author emphasizes the geometric aspects of the subject, which helps students gain intuition A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints Bockstein and transfer homomorphisms, direct and inverse limits, H spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold Thom theorem, and Steenrod squares and powers.

[PDF] Download ✓ Algebraic Topology  by ↠ Allen Hatcher 191 Allen Hatcher

Title: [PDF] Download ✓ Algebraic Topology  by ↠ Allen Hatcher
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Published :20180302T18:54:36+00:00
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. While some people might complain about the book's lack of rigor, I think this is irrelevant. What is important is that the book manages to convey the essentials of topology. I [...]
The best thing about this book is that its free on the internet! Hatcher's book is a good introduction to algebraic topology. Its full of examples and tons of extra material beyond the basics, which can actually make it difficult to find what you need. This book is NOT concise: if you have a lot of time on your hands and don't mind learning things that you probably won't ever use, this is a good book. But it can be hard to find what you need, and often the original examples that he gives aren't [...]
ebook,nonfiction,mathematics,topology
I have this loveandhate relationship with Hatcher.