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京东 11.11 红包
【Proof-Trivial】范畴论入门 (Category Theory)
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https://www.youtube.com/watch?v=U56kGttITyI&list=PLuFcVFHMIfhKFQJsilw-W7dVtPprKU 原YouTube是VisualMath,希望大家多多支持原作者~ Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Disclaimer. The distinction between “large classes” and “small classes (sets)” turns out is crucial for many categorical considerations, but somehow makes the language more cumbersome without too much gain imho. So I will strategically ignore all set-theoretical issues. Slides. http://www.dtubbenhauer.com/youtube.html Website with exercises. http://www.dtubbenhauer.com/lecture-c... Category theory. https://en.wikipedia.org/wiki/Categor... https://ncatlab.org/nlab/show/categor... https://mathworld.wolfram.com/Categor... https://www.math3ma.com/blog/what-is-... The unit interval. https://arxiv.org/abs/1010.4474 https://www.maths.ed.ac.uk/~tl/pisa/p... String diagrams and alike. https://en.wikipedia.org/wiki/String_... https://core.ac.uk/download/pdf/21747... https://ncatlab.org/nlab/show/Frobeni... Pictures used. https://en.wikipedia.org/wiki/Flowcha... Cat from Section 1.4 of http://www.tac.mta.ca/tac/reprints/ar... A picture that I can not find online anymore (the one on the slide called “Category theory could also be called Arrow theory”) Some books I am using (I sometimes steal some pictures from there). https://en.wikipedia.org/wiki/Categor... https://www.cambridge.org/core/books/... http://www.tac.mta.ca/tac/reprints/ar... https://math.mit.edu/~dspivak/teachin... https://math.jhu.edu/~eriehl/context.pdf https://github.com/hmemcpy/milewski-c... Nlab. https://ncatlab.org/nlab/show/HomePage
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