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If ''f : X → Y'' is an ordinary function, then its inverse is the multivalued function
:<math> \Gamma_{f^{-1}}\ \subseteq \ Y\times X</math>
defined as ''Γ<sub>f</sub>'', viewed as a subset of ''X'' × ''Y''. When ''f'' is a [[differentiable function]] between [[Manifold|manifolds]], the [[
For example, the [[complex logarithm]] ''log(z)'' is the multivalued inverse of the exponential function ''e<sup>z</sup>'' : '''C''' → '''C'''<sup>×</sup>, with graph
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It is not single valued, given a single ''w'' with ''w = log(z)'', we have
:<math>\log(z)\ =\ w\ +\ 2\pi i \mathbf{Z}.</math>
Given any [[Holomorphic function|holomorphic]] function on an open subset of the [[
==Concrete examples==
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