In my opinion, for general topology there is no better text than Runde's "A Taste of Topology" since it is short and comprehensive enough to learn it all (in contrast to Munkres's which is a good book but I think too tedious and long to master quickly). Then for a faster review and a good introductory but thorough reference on algebraic topology I would pick Bredon's "Topology and Geometry" without any doubt. A nice short clarifying companion is Sato/Hudson's "Algebraic Topology: an intuitive approach". Beyond that, the books by tom Dieck or May as recommended in other answers.
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