Best book of topology for beginner? - Mathematics Stack Exchange
The first half is point-set topology and the second is algebraic topology. Actually the book is replete with examples as each section is followed by questions which are answered at the back of the book. And a special consideration - it is (as a noted mathematician coined the term) Doverised. At $10+ it is a gift.
Algebraic topology beyond the basics: any texts bridging the gap?
There are only 2 "standard" advanced textbooks in algebraic topology and both of them are over 30 years old now: Robert Switzer's Algebraic Topology: Homology And Homotopy and George Whitehead's Elements of Homotopy Theory. Homotopy theory in particular has undergone a complete transformation and explosive expansion since Whitehead wrote his book.
Best Algebraic Topology book/Alternative to Allen Hatcher free …
BUT, another part of algebraic topology is in the new jointly authored book Nonabelian Algebraic Topology: filtered spaces, crossed complexes, cubical homotopy groupoids (NAT) published in 2011 by the European Mathematical Society. The print version is not cheap, but seems to me good value for 703 pages, and a pdf is available on my web page ...
How to know if you are "tough enough" to study Algebraic Topology
2016年6月17日 · It covers all the prerequisites needed for a serious algebraic topology course-the basics of point set topology, homotopy theory,commutative diagrams and category theory and the classification of compact surfaces-in a completely modern and very geometric way.
Having problem with tom Dieck's algebraic topology text
2018年12月6日 · The paper by N E Steenrod "Cohomology Operations, and Obstructions to Extending Continuous Functions*, ADVANCES IN MATHEMATICS 8, 371-416 (1972), is a good introduction to some basic problems of algebraic topology.
soft question - How to read Hatcher's Algebraic Topology?
2019年3月8日 · Even though it is about manifolds, it takes plenty of time to introduce key topics from general and algebraic topology. If your background in general topology is sufficiently strong, you can go straight to Chapter 5 on cell complexes (in the second edition, the focus is on CW complexes) and work on from there.
My criteria for an Algebraic Topology text - Mathematics Stack …
PDF/electronic version. This is almost a requirement, but all of the books I'm interested in have this anyway. Possible Algebraic Topology texts. Hatcher. This book doesn't seem to have my 1-3 criteria. I know it's the main recommendation for an introductory text.
Allen Hatcher Algebraic topology - Mathematics Stack Exchange
2019年12月18日 · I found the first parts "hand-wavy", probably because he assumes that the reader has more knowledge of the basics than I had. Then I read Rotman's book cover to cover, along with Munkres' "Elements of Algebraic Topology". They cover the same material in slightly different ways, which helped me see "the big picture".
An "advanced beginner's" book on algebraic topology?
2013年7月12日 · Everyone I know who has seriously studied from Spanier swears by it- it's an absolute classic. The approach is exactly as you describe- algebraic topology for grown-ups. The treatment of homological algebra in it is extremely nice, and quite sophisticated. A second, quite brilliant book along the same lines is Rotman. It's more geometric than ...
algebraic topology - Book recommendation: Homology and …
2015年7月2日 · Although Amazon says that Massey's Singular Homology Theory is a sequel to Massey's Algebraic Topology: An Introduction, the earlier book is not a logical prerequisite for Singular Homology Theory.