deck transformation造句

If " X " is a deck transformation group on " X " is properly discontinuous as well as being free.
In the classification of covering spaces, it is shown that the fundamental group is exactly the group of deck transformations of the universal covering space.
Fundamental groups can be studied using the theory of covering spaces, since a fundamental group coincides with the group of deck transformations of the associated generators and relations.
D . Farley has shown that " F " acts as deck transformations on a locally finite CAT ( 0 ) cubical complex ( necessarily of infinite dimension ).
The deck transformations are multiplications with " n "-th roots of unity and the deck transformation group is therefore isomorphic to the cyclic group " C " " n ".
It's difficult to find deck transformation in a sentence. 用deck transformation造句挺难的

The deck transformations are multiplications with " n "-th roots of unity and the deck transformation group is therefore isomorphic to the cyclic group " C " " n ".
for the torus, where the case of equality is attained by the flat torus whose deck transformations form the lattice of Eisenstein integers, Pu's inequality for the real projective plane "'P "'2 ( "'R "'):
The general technique of associating to a manifold " X " its universal cover " Y ", and expressing the original " X " as the quotient of " Y " by the group of deck transformations gives a first overview over Riemann surfaces.
The boundary case of equality is attained if and only if the metric is flat and homothetic to the so-called " equilateral torus ", i . e . torus whose group of deck transformations is precisely the hexagonal lattice spanned by the cube roots of unity in \ mathbb C.
Given a representation, the flat-bundle with monodromy is given by M = \ left ( \ widetilde { B } \ times F \ right ) / \ pi _ 1B, where acts on the universal cover \ widetilde { B } by deck transformations and on by means of the representation.
Every free, properly discontinuous action of a group " G " on a path-connected topological space " X " arises in this manner : the quotient map is a regular covering map, and the deck transformation group is the given action of " G " on " X ".