Is it true that for either complex or real differentiable manifolds, the space of points of the manifolds corresponds to the maximal (or prime) spectrum of the ring of functions (holomorphic functions in the complex case, real-valued differentiable functions in the real case) on the manifold? I'm curious how similar to algebraic geometry these cases are.
2026-03-26 13:01:52.1774530112
algebra-geometric correpondence for real or complex manifolds
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