Differential geometry MOC

Category of manifolds

Let $𝛼 \in ℕ 0$ , $𝛼 = \infty$ , or $𝛼 = 𝜔$ . The category of manifolds $𝖬 𝖺 𝗇 𝛼$ is a category where an object is a $𝐶 𝛼$ -manifold and a morphism is a $𝐶 𝛼$ -map. #m/def/geo/diff Often one also sees the terms smooth category for $𝖬 𝖺 𝗇 \infty$ and analytic category for $𝖬 𝖺 𝗇 𝜔$ .

Category of manifolds

See also