population map of Scotland
Posts tagged with diffeomorphism
differential topology lecture by John W. Milnor from the 1960’s: Topology from the Differentiable Viewpoint
That’s the first of three lectures. Also Milnor’s thoughts almost half a century later on how differential topology had evolved since the lectures:
Hat tip to david a edwards.
What I really loved about this talk was the categorical perspective. The talks are really structured so that three categories — smooth things, piecewise things, and points/sets — are developed in parallel. Better than development of the theory of categories in the abstract, I like having these specific examples of categories and how “sameness" differs from category to category.