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    $\begingroup$ I would add: start with Lawvere-Rosebrugh, then proceed to Bradley-Bryson-Terilla and after that you can get into the deep waters of the first three references. Also the videos by the "Catsters" as suggested by @mozibur ullah in another answer should be useful to start. $\endgroup$ Commented Apr 3, 2021 at 7:53
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    $\begingroup$ These sound reasonable for a strong university student, or a professional mathematician who somehow has missed out on category theory, but how realistic is it to expect a 17 year old student to learn functional analysis from Helemskii and use it a springboard into category theory? $\endgroup$ Commented Apr 3, 2021 at 11:43
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    $\begingroup$ @MarkWildon: What is it that you find unrealistic here? I am not suggesting to learn functional analysis without first learning real analysis. Concerning your comment about age, I started studying functional analysis when I was 18 years old and real analysis when I was 17 years old, so studying real analysis for a year and then moving on to functional analysis worked just fine for me and it can also work for others. $\endgroup$ Commented Apr 3, 2021 at 16:26
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    $\begingroup$ Definitely going to give a +1 over Paolo Aluffi's book. I was 18 and in my first semester of community college when I picked it up -- it was my first exposure to algebra and category theory and caused me to fall in love with both areas. $\endgroup$ Commented Apr 3, 2021 at 19:02
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    $\begingroup$ @CalvinMcPhail-Snyder: Some references I am aware of (with various degree of explicitness): Jeffrey C. Morton's Cohomological Twisting of 2-Linearization and Extended TQFT Section 2 and 3 of Gijs Heuts and Jacob Lurie's Ambidexterity, Section 3 of Freed–Hopkins–Lurie–Teleman's Topological quantum field theories from compact Lie groups. $\endgroup$ Commented Apr 5, 2021 at 16:19