{"id":3174,"date":"2022-01-25T01:00:40","date_gmt":"2022-01-25T06:00:40","guid":{"rendered":"http:\/\/brickisland.net\/DDGSpring2022\/?p=3174"},"modified":"2022-01-17T17:42:12","modified_gmt":"2022-01-17T22:42:12","slug":"lecture-2b-introduction-to-manifolds","status":"publish","type":"post","link":"https:\/\/brickisland.net\/DDGSpring2022\/2022\/01\/25\/lecture-2b-introduction-to-manifolds\/","title":{"rendered":"Lecture 2B: Introduction to Manifolds"},"content":{"rendered":"

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In tomorrow’s lecture we will catch a first glimpse of the idea of manifolds<\/em>, which are pretty central to differential geometry. Rather than giving a formal definition in the smooth case, we’ll introduce a notion of discrete manifolds<\/em> that capture the most important ideas. These discrete manifolds build on the idea of a simplicial complex<\/em>, introduced in the previous lecture.<\/p>\n