Linked Questions

70 votes
4 answers
23k views

Learning Roadmap for Algebraic Topology

I am now considering about studying algebraic topology. There are a lot of books about it, and I want to choose the most comprehensive book among them. I have a solid background in Abstract Algebra, ...
Arsenaler's user avatar
  • 3,930
30 votes
3 answers
13k views

Topology Prerequisites for Algebraic Topology

Note: There is another question of the same title, but it is different and asks for group theory prerequisites in algebraic topology, while i want the topology prerequisites. I am a physics ...
user avatar
15 votes
2 answers
1k views

Difficulties with reading "informal" and "non-rigorous" sections when studying Algebraic topology

The words in the title may not be accurate, so I put them in quotes. Recently I begin reading Hatcher's book on Algebraic topology. I have not studied any "topology" other than basic point set ...
Ma Joad's user avatar
  • 7,432
7 votes
2 answers
915 views

Munkres Topology preparation for Algebraic Topology by Hatcher

I am planning to take a graduate topology class that uses Algebraic Topology by Hatcher. In order to prepare for that class, would going over chapter 1-8 of Munkres Topology be sufficient enough to ...
Andrew de la Pena's user avatar
3 votes
1 answer
1k views

Algebra prerequisites for Hatcher's Algebraic Topology

Is the chapter on groups in Herstein's Topics in Algebra enough to get started? What bare minimum Algebra should I be comfortable with, before studying Algebraic Topology?
emilran's user avatar
  • 205
1 vote
2 answers
863 views

Munkres vs Hatcher

I am self-studying algebraic topology and I was wondering which book is better for my purposes. The second part of Munkres' topology deals with algebraic topology and it seems easier to understand, ...
Chris Ewing's user avatar
8 votes
1 answer
1k views

Textbook to Self-Study Algebraic Topology / Rating them by Readability

Why post this question again I don't think earlier posts reviewed a number of the textbooks I'm interested in, and haven't considered my criteria. My background At the graduate level, I've self-...
IsaacR24's user avatar
  • 635
1 vote
1 answer
191 views

Module theory for chapters 1-3 of Hatcher Algebraic Topology

I'm taking a graduate sequence alg. topology course based on Hatcher and I've already learned point-set topology, groups, and rings. I scanned the first three chapters of Hatcher and saw modules ...
kyary's user avatar
  • 1,036
0 votes
0 answers
106 views

Suggestions regarding Algebraic topology

I have recently completed my undergraduate degree. Now, I have started reading Algebraic topology Hatcher's book. I have read chapter 0 & 1 . But I am not able to solve excercise.How can I ...
Nope's user avatar
  • 1,222
0 votes
0 answers
100 views

Motivated Reading on Topology?

I am looking for a book on Topology which isn't solely focused on cramming theorems and proofs down the reader's throat: I have already read a significant chunk of Munkres. What I am looking for now ...
JAG131's user avatar
  • 79