The theory of analytic spaces (cf. Analytic space). The term was introduced by J.P. Serre [1] in analogy with algebraic geometry.
[1] | J.-P. Serre, "Géométrie algébrique et géométrie analytique" Ann. Inst. Fourier (Grenoble) , 6 (1955–1956) pp. 1–42 MR0082175 Zbl 0075.30401 |