I am taking next semester a class on Topology and was wondering if anyone could advise me a book containing a lot of exercises WITH solutions in order to train.
Thank you in advance
Fundamentals of General Topology: Problems and Exercises, Arkhangel'skii A., Ponomarev V.
Elementary topology, problem textbook, Viro O., Ivanov O., Netsvetaev N., Kharlamov V.
The topology problem solver, The Staff of REA
Another interesting one which illustrates lots of problems is:
Schaums Outline of General Topology by S. Lipschutz
This one is very nice:
Counterexamples in Topology, by Steen & Seebach.