What iscategory theory

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=U56kGttITyI

Goal. • Explaining basic concepts of category theory in an intuitive way. • This time. • What is...category theory? Or: Organizing ideas. • 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 • TheCatsters. • / @thecatsters • Mathematica. • https://wildcatsformma.wordpress.com/ • #categorytheory • #categoricalalgebra • #mathematics

#############################

New on site