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.)
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.)