Topology without tears

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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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2 Answers

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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.

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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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