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I have started reading the book Topology Without Tears by Sidney A. Morris. I have read the first chapter and so far it reads well. However, the name of the book is a bit deceiving and makes me think it is not a book to rigorously learn topology. Has anyone read (or) used the book? If so, could you let me know if it is a nice book to start with? If not, could you let me know what book I should use to learn topology? (I would prefer a free book available online. It is quite expensive to buy a good book in India. However, if it is "the" book and I must have if I want to learn topology then I shall consider buying it.)

Thanks,
Adhvaitha

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    $\begingroup$ I've never seen this book before, but he begins the first chapter by stressing the importance of proofs, so I'm not very worried about the rigor. We shouldn't discourage creative titling! $\endgroup$ Aug 27, 2011 at 18:38
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    $\begingroup$ Are the 'tears' referenced in the title the type that drip from your eyes, or the type that rip things into pieces? $\endgroup$
    – wckronholm
    Aug 27, 2011 at 21:39
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    $\begingroup$ My students loved the book, it's pretty good. And it is rigorous. $\endgroup$ Jan 13, 2012 at 17:02
  • $\begingroup$ Started to exercise $\endgroup$
    – user837396
    Dec 12, 2020 at 4:04

2 Answers 2

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Yes, it's a good book to learn topology. The author takes some space to talk about intuition, but all definitions, theorems, proofs are rigorous.

(Side note: Looking at your user profile, you might be falling in the calculus trap. Please read this article.)

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Yes this is good book that I recommend for its self-completeness. You will not have to go to other sources to understand the book. This is very important quality for the book you choose as your first in a topic. Also watch Mr. Morris's YouTube channel where he lecturing. Specifically I like his lecture series about mathematical proofs.

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