Timeline for Mindset to understand category theory
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| May 29, 2023 at 16:46 | comment | added | Claus | @DmitriPavlov Your notes are great. Thank you for the link. Great idea to write these notes. | |
| May 27, 2021 at 6:40 | comment | added | Dmitri Pavlov | @MartinBrandenburg: See, for example, pages 15–16 in my notes, pages 23–27 in the handwritten notes. Formulating it in this manner becomes a necessity when working in arbitrary toposes, see Mulvey and Pelletier, A globalization of the Hahn–Banach theorem. | |
| May 27, 2021 at 6:01 | comment | added | Martin Brandenburg | In which way is Hahn-Banach an equivalence of categories? | |
| Apr 5, 2021 at 16:19 | comment | added | Dmitri Pavlov | @CalvinMcPhail-Snyder: For the general framework, see: nLab: motivic quantization, Johan Alm's Quantization as Kan extension, Section 4.3 in Joost Nuiten's Cohomological quantization of local prequantum boundary field theory, Sections 4 and 5 of Urs Schreiber's Quantization via linear homotopy types. Say hi to Kolya from me. | |
| Apr 5, 2021 at 16:19 | comment | added | Dmitri Pavlov | @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. | |
| Apr 5, 2021 at 15:24 | comment | added | Calvin McPhail-Snyder | Slightly off-topic: Do you have a reference that discusses quantization of DW theories as a Kan extension? | |
| Apr 3, 2021 at 23:03 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Apr 3, 2021 at 21:21 | history | edited | Dmitri Pavlov | CC BY-SA 4.0 |
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| Apr 3, 2021 at 19:02 | comment | added | Andrew Tawfeek | 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. | |
| Apr 3, 2021 at 16:26 | comment | added | Dmitri Pavlov | @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. | |
| Apr 3, 2021 at 11:43 | comment | added | Mark Wildon | 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? | |
| Apr 3, 2021 at 7:53 | comment | added | Leo Alonso | 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. | |
| Apr 3, 2021 at 2:45 | history | edited | Dmitri Pavlov | CC BY-SA 4.0 |
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| Apr 3, 2021 at 2:39 | history | answered | Dmitri Pavlov | CC BY-SA 4.0 |