I'm studying algebraic topology without studying mathematics.
I am familiar with the concepts of fundamental groups, coverings, homology theory, cohomology theory, homotopy theory and cohomotopy theory.
What is/are the next "canonical" topic(s) I should study.
Please don't tell me "just" a topic, because then I could use wikipedia. I need a topic, that can be studied by someone who is just reading a good book or lecture notes.
Thanks for your help.