higher geometry / derived geometry
geometric little (∞,1)-toposes
geometric big (∞,1)-toposes
derived smooth geometry
Euclidean geometry studies the geometry of Euclidean spaces. These spaces come equipped with a canonical Riemannian metric, and Euclidean geometry can be regarded as the local model for Riemannian geometry, in some sense.
synthetic geometry |
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Euclidean geometry |
hyperbolic geometry |
elliptic geometry |