I am looking for a book(or any other resource) that perhaps is like Hatcher(geometric, visual, and intuitive) but perhaps less chatty.

I have tried to read through May's book, but it is kinda the polar opposite of Hatcher in terms of length and viewpoint(mainly algebraic and ~200 pages).

Is such a compromise between a geometric/visual viewpoint and concision even possible? Or is Hatcher(or something else) the only way?

Please note that the "contents" of algebraic topology that I am looking for are the standard topics normally covered in graduate algebraic topology, which would probably be the same contents of Hatcher due to its popularity.

I found Bott-Tu which is really interesting, but it is quite non-standard and feels more like a supplement to a main text/resource.

My background in general topology is Jänich's book and Hatchers point-set topology notes, and my algebra background is everything up to Galois Theory and the basics of category theory.

Thank you all very much!

  • $\begingroup$ Soryy but what is wrong with Hatcher's algebraic topology book? $\endgroup$ – Anubhav Mukherjee Sep 26 '18 at 21:20
  • $\begingroup$ And exactly what topic's book are you looking for? Differential topology, algbraic topology, 3 manifold, 4 manifold, geometry-topology-- What exactly? $\endgroup$ – Anubhav Mukherjee Sep 26 '18 at 21:21
  • $\begingroup$ I find hatcher to be too wordy $\endgroup$ – Hamura Otsutsuki Sep 26 '18 at 21:23
  • $\begingroup$ wait, what do you mean by too wordy? $\endgroup$ – Anubhav Mukherjee Sep 26 '18 at 21:24
  • 2
    $\begingroup$ You have to be "chatty" to explain the intuition. $\endgroup$ – Peter Saveliev Sep 27 '18 at 23:59

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