例句與造句

1. This notion includes mapping class groups via their actions on curve complexes.
2. Along with Yair Minsky, Masur is one of the pioneers of the study of curve complex geometry.
3. The curve complex of a surface S is a complex whose vertices are isotopy classes of simple closed curves on S.
4. As a mathematician, Klarreich is known for her theorem in geometric topology that states that the boundary of the curve complex is laminations.
5. This action, together with combinatorial and geometric properties of the curve complex, can be used to prove various properties of the mapping class group.
6. It's difficult to find curve complex in a sentence. 用curve complex造句挺難的
7. For surfaces of small complexity ( essentially the torus, punctured torus, and three-holed sphere ), with the definition above the curve complex has infinitely many connected components.
8. There is a natural map from Teichm黮ler space to the curve complex, which takes a marked hyperbolic structures to the collection of closed curves realising the smallest possible length ( the systole ).
9. Other more combinatorial objects associated to this group ( in particular the curve complex ) have also been related to Teichm黮ler space, and this is a very active subject of research in geometric group theory.
10. The masterplan for this area was revealed in 2006 and suggests a significant all-curved complex consisting of some 11 office buildings including a 704-room Cab Inn Metro hotel and two 20-storey office / hotel buildings.
11. As a special case of the philosophy of the previous paragraph, the geometry of the curve complex is an important tool to link combinatorial and geometric propertoes of hyperbolic 3-manifolds, and hence it is a useful tool in the study of Kleinian groups.
12. There are other ways of getting finite presentations, but in practice the only one to yield explicit relations for all geni is that described in this paragraph with a slightly different complex instead of the curve complex, called the " cut system complex ".