Kan Academy: Introduction to Limits скачать в хорошем качестве

Kan Academy: Introduction to Limits

To try everything Brilliant has to offer—free—for a full 30 days, visit https://brilliant.org/GSheaf/ . You’ll also get 20% off an annual premium subscription. This video gives a (gentle?) example-driven introduction to limits. Pacing might be fast, but that's because you have a pause button ;) __________ Timestamps: 00:00 - Introduction 00:47 - Getting started 01:22 - Sets 02:07 - Meaning through functions 03:39 - Elements as functions 04:10 - Cartesian product 05:13 - Two-of-a-kinds 06:12 - Fibre product 06:38 - Two-of-a-kinds, for real this time 07:47 - Equaliser 09:34 - Vector spaces 10:49 - Elements as linear transformations 11:53 - Cartesian product of vector spaces 12:21 - Kernel of a linear transformation 12:54 - Something more complex 14:34 - Elements as chain maps 15:12 - Fibre product of chain complexes 16:16 - Universal properties 18:39 - Abstract shapes 19:06 - Constructing a diagram 20:11 - Cone of a diagram 21:10 - Limit cone 22:01 - Thx 4 watching 22:21 - Existential fine-print 23:18 - Building blocks of limits 24:06 - Recipe for limits from building blocks 25:42 - Merci d'avoir regardé ! __________ This video was sponsored by Brilliant.