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Flatness (mathematics)
In
mathematics
, the
flatness
of a
surface
is the
degree
to which it
approximates
a
mathematical plane
. The term is often
generalized
for
higher-dimensional
manifolds
to describe the degree to which they
approximate
the
Euclidean space
of the same
dimensionality
.
Flatness
in
homological algebra
and
algebraic geometry
means, of an
object
in an
abelian category
, that is an
exact functor
.
See
flat module
or, for more
generality
,
flat morphism
.