Additionally, the sum can be performed simultaneously on submanifolds of equal dimension and meeting transversally.
A topological manifold of dimension not equal to 4 has a handlebody decomposition.
For example a complex projective space has cup-length equal to its complex dimension.
They introduce conceptual considerations by assigning equal dimensions to an 8-ball and a bright beachball.
It has often been said that George and Martha are roles of equal dimension.
Since G has cohomological dimension equal to two, the higher cohomology groups vanish.
The four principal rooms were working studios of nearly equal dimension, with no master bedroom.
Thus, the flag is defined as having a ratio of 2:3, with the colored stripes of equal dimensions.
All the tangent spaces have the same dimension, equal to the dimension of the manifold.
It has two loggias, the lower one with three arches of equal dimensions joining the portico.