Topology without tears

general-topology

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.)


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.

Related

How to think of the pullback operation of line bundles?
How prove this inequality $\frac{a}{b+3}+\frac{b}{c+3}+\frac{c}{d+3}+\frac{d}{a+3}\le 1$
Integral $\int_0^\infty\operatorname{arccot}(x)\,\operatorname{arccot}(2x)\,\operatorname{arccot}(5x)\,dx$
Proof of this fairly obscure differentiation trick?
Explaining the graph of $\sin(x^2) + \sin(y^2) = 1$
If every open set is a countable union of balls, is the space separable?
Intersection of two parabolae
Difference between calculus and analysis
A Geometric Proof of $\zeta(2)=\frac{\pi^2}6$? (and other integer inputs for the Zeta)
Sum of measures and integral
To prove that $2^{3n}+2^n +1$ is not a perfect square.
Strehl identity for the sum of cubes of binomial coefficients