Munkres is very nice. A good and very cheap alternative ($8.18 at Amazon) is Bert Mendelson's "Introduction to Topology." It doesn't do much, if any, algebraic topology, but its treatment of metric spaces and point-set topology is very clear and well-motivated.
ah nice. Many people claim Munkers to be the best topology book, it is going to be interesting to learn from this book. My plan is to improve my mathematical skills as much as possible because I would like to work in the future with mathematical physics and I know that topology and differential geometry are definitely required in order to be able to continue with more advanced mathematical methods;)
thank you! I have ordered this one as well;)
''Mathematical Physicist'' could you please describe more detailed your work (studies) how does it look like to work with this branch of physics? What are perspectives?
The only thing that I don't like about Munkres are that he doesn't talk about initial/final structures. He also doesn't talk about filters, which is a shame imho, since these concepts have a lot of use outside topology...
But I do like that he talks about point-set and algebraic topology. So you can feel for yourself which part is more fun