I am planning to sign up for an undergraduate "course" in point-set topology next semester. It is really an "independent study" in that this course will not have any lectures. It will just have two tests and a final exam. I plan to follow a YouTube playlist on Topology to solidify my understanding of the subject.
Since it is an "independent study," the instructor of this independent study has asked me if I preferred to read a certain topology textbook. So, I researched the books on Topology and decided upon Topology: A first Course by Munkres. However, last semester I had done a similar "independent study" in Abstract Algebra for which I had studied A First Course in Abstract Algebra by Fraleigh which is highly recommended online. However, I found that for an "independent study," this was was rather stingy with examples, although this might just be me. I was still getting acquainted with axiomatic math courses.
Do you believe that the book by Munkres would be a good choice for an "independent study" in Topology? Is it generally skimpy on examples like Fraleigh's book? Would you recommend some other book on Topology? P.S. I would hate to go for a book that is either less challenging or less mathematically rigorous that Mukres's.
Potentially relevant information: So far, the axiomatic courses I have completed include Real Analysis (based on first six chapters from Rudin), Mathematical Statistics (based on Hogg, Craig's first seven chapters), Abstract Algebra (based on Fraleigh), and a course in Complex Variables (based on Churchill's first four chapters). Any suggestions and/or advice are deeply appreciated!
Edit: I am planning to pursue a doctoral degree in economics for which I have been advised that I should take a course in Topology.