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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

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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

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  • $\begingroup$ Thank you. These seem very good books based on the previews on amazon $\endgroup$ – user43758 Dec 19 '13 at 14:20
  • $\begingroup$ You're welcome. $\endgroup$ – Vincent Dec 20 '13 at 13:00
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    $\begingroup$ The book by Viro, et al. is great. You can get a free version online which is the same as the print version but with no solutions. This isn't a big deal, because the print version doesn't have all solutions anyways. $\endgroup$ – user59083 Aug 18 '14 at 18:46
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This one is very nice:

Counterexamples in Topology, by Steen & Seebach.

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Another interesting one which illustrates lots of problems is:

Schaums Outline of General Topology by S. Lipschutz

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