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I just finished reading through Armstrong - Topology and I'm looking for a logical next step to keep going in learning more topology. I've taken courses in Real + Complex Analysis, Algebra, Geometry and others and am a third-year undergrad for reference. I'm considering Hatcher - Algebraic Topology or Bredon - Topology and Geometry for two slightly different treatments, but I'm not sure if there are better roads to take. Any advice would be greatly appreciated!

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  • $\begingroup$ Those are good books. After learning about a given topic, you might want to occasionally glance at Peter May's (usually highly elliptical) treatment in A Concise Course in Algebraic Topology to get a more abstract POV. $\endgroup$ May 27, 2023 at 3:19

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You should check out Michael Müger' ''Topology for Working Mathematician'' it is detailed and consist everything.

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  • $\begingroup$ @RDK The question is asking for book recommendations, so this answer seems fine to me (unless you don't think this book is appropriate?). $\endgroup$
    – user1729
    May 29, 2023 at 16:57
  • $\begingroup$ Oh, I didn't check the question. My miss, sorry for that :( $\endgroup$
    – RDK
    May 29, 2023 at 17:26

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