例句與造句

1. The action is not properly discontinuous ( the stabiliser of a simple closed curve is an infinite group ).
2. For a properly discontinuous action, cocompactness is equivalent to compactness of the quotient space " X / G ".
3. If " X " is a deck transformation group on " X " is properly discontinuous as well as being free.
4. The action of the mapping class group MCG ( S ) on the Teichm黮ler space is properly discontinuous, and the quotient is the moduli space.
5. Sometimes a properly discontinuous cocompact isometric action of a group G on a proper geodesic metric space X is called a " geometric " action.
6. It's difficult to find properly discontinuous in a sentence. 用properly discontinuous造句挺難的
7. Then this action is a discrete convergence action if and only if the inducted action of \ Gamma on \ Theta ( M ) is properly discontinuous.
8. Thus \ Gamma is a uniform convergence group if and only if its action on \ Theta ( M ) is both properly discontinuous and co-compact.
9. They showed that the natural action of \ operatorname { Out } ( F _ n ) on X _ n is properly discontinuous, and that X _ n is contractible.
10. Generalising the example of the modular group a Fuchsian group is a group admitting a properly discontinuous action on the hyperbolic plane ( equivalently, a discrete subgroup of \ mathrm { SL } _ 2 ( \ mathbb R ) ).
11. 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 ".
12. Relatively hyperbolic groups are a class generalising hyperbolic groups . " Very " roughly G is hyperbolic relative to a collection \ mathcal G of subgroups if it admits a ( " not necessarily cocompact " ) properly discontinuous action on a proper hyperbolic space X which is " nice " on the boundary of X and such that the stabilisers in G of points on the boundary are subgroups in \ mathcal G.
13. Bowditch also gave a topological characterisation of word-hyperbolic groups, thus solving a conjecture proposed by action by homeomorphisms on a perfect metrisable compactum " M " as a " uniform convergence group ", that is such that the diagonal action of " G " on the set of distinct triples from " M " is properly discontinuous and co-compact; moreover, in that case " M " is " G "-equivariantly homeomorphic to the boundary  " " G " of " G ".