In mathematics, the Teichmüller space T(S) of a (real) topological (or differential) surface S, is a space that parameterizes complex structures on S up to the action of homeomorphisms that are isotopic to the identity homeomorphism. Each point in T(S) may be regarded as an isomorphism class of 'marked' Riemann surfaces where a 'marking' is an isotopy class of homeomorphisms from S to itself.
It can also be viewed as a moduli space for marked hyperbolic structure on the surface and this endows it with a natural topology for which it is homeomorphic to a ball of dimension 6g − 6 for a surface of...
1
In mathematics, the linear programming relaxation of a 0-1 integer program is the problem that arises by replacing the constraint that each variable must be 0 or 1 by a weaker constraint, that each variable belong to the interval [0,1].
That is, for each constraint of the form
x
i
∈
{
0
,
1
}
{\displaystyle x_{i}\in \{0,1\}}
of the original integer program, one instead uses a pair of linear constraints
0
≤
...
