%0 Journal Article
%A Ansemil, José María M.
%A Ponte, Socorro
%T Spaces of holomorphic germs on quotients
%D 1993
%@ 0022-247X
%U https://hdl.handle.net/20.500.14352/57628
%X Let (X, Φ) be a Riemann domain over a complex Fréchet space E, K a compact subset of X and  (K) the vector space of all holomorphic germs on K. Given an F-quotient (XF, φF, ψ) of (X, φ) (see the definition below), the canonical mapping ψ : X ↦ XF induces a mapping ψ* : g ∈  (ψ(K)) ↦ g ○ ψ ∈  (K). Our aim here is to study conditions under which ψ* is an embedding when natural topologies on spaces of germs are considered.
%~