Topology textbook for learning discrete mathematics

Question

I've been searching for a textbook on point-set topology. I feel that I need the subject somehow as a language, since I often find links on it in textbooks on graphs, models, or formal languages. But the problem is I have very bad feeling of the continuity, or continuous shapes or sets. For example, I understand the algebraic or set-theoretic definition of $\mathbb{R}$, but I do not "accept" the idea of real line. (It's rather difficult for me to imagine the continuity, knowing the universe consists of atoms that are mostly empty.) I've analyzed the situation and come to the conclusion that Kelley's book is good for me. But I'm not sure. Can it really be useful, and is there a book you can recommend (if it's real to study the subject with such "bugs")? P.S. I'm rather good with cumbersome texts with formal proofs.

Answer 1

I also find discrete math more intuitive in some sense, as opposed to calculus and analysis.

I would recommend "Topology" by James r. Munkres, very well written and helped me understand some of those concepts.

Remark: it is not a discrete math book.