It is defined as a space that is covered by a finite number of  coordinate charts such that when a point belongs to two charts and  has two sets of local coordinates, these coordinates are related by  a certain kind of transformation.
It is defined as a space that is covered by a finite number of  coordinate charts such that when a point belongs to two charts and  has two sets of local coordinates, these coordinates are related by  a certain kind of transformation. Furthermore, these functions  through which the transformation is expressed are dealt with on the  basis of having continuous partial derivatives with non-zero  Jacobian determinants. For ten points, name these topological  spaces useful in algebraic geometry, differential equations, and  classical dynamics.
It is defined as a space that is covered by a finite number of  coordinate charts such that when a point belongs to two charts and  has two sets of local coordinates, these coordinates are related by  a certain kind of transformation.
{manifold}s