Topology Comparing Topology Textbooks: A Scientist's Perspective

[SrVishi]

Hello, I am trying to relearn Topology. I have already read through a good amount of Munkres' book, but I was thinking of going through another. I have come across "Elementary Topology: A Problem Textbook" http://www.pdmi.ras.ru/~olegviro/topoman/e-unstable.pdf by Viro and others through another thread. Is this a good book? How does this compare to other books such as Munkres, Kelley, Dugundji, and Willard in terms of the amount of material and level? I'd assume that a book that has you essentially work through topology would be a good analogue to a rigorous higher level book such as Kelley and Dugundji (I could be wrong of course). As a note, I won't mind if it doesn't have the best section on Algebraic Topology since I was planning on going through Hatcher's book afterwards. Thanks in advance for any response.

 

[mathwonk]

it seems to be an excellent book, especially if you work through it as intended by its authors.

 

[micromass]

Yes, the book is excellent. It's one of my favorite books on topology. It will definitely take a lot of time to get through it though.

 

[SrVishi]

Thanks for your replies! Well, I have lot's of time to go through with it, and it looks like it will be really fun to go through so I'm excited to get started on it. I wish there were more books that were structured like this that were of this quality and covered this much material for other subjects.

 

[micromass]

If you enjoy this, here is one in algebraic geometry: https://www.amazon.com/dp/0821893963/?tag=pfamazon01-20
Here is one on logic http://euclid.trentu.ca/math/sb/pcml/pcml-16.pdf (there is a sequel too)
Here is another one on logic: http://arxiv.org/abs/math/9601203

 

[SrVishi]

Ah, thanks! I really do like the idea of this. DO you know of any good ones for analysis? I have seen a few, but can't decide on which of them.