Hierarchies for 3-orbifolds
نویسندگان
چکیده
منابع مشابه
Complexity of 3-orbifolds
We extend Matveev’s theory of complexity for 3-manifolds, based on simple spines, to (closed, orientable, locally orientable) 3-orbifolds. We prove naturality and finiteness for irreducible 3-orbifolds, and, with certain restrictions and subtleties, additivity under orbifold connected sum. We also develop the theory of handle decompositions for 3orbifolds and the corresponding theory of normal ...
متن کاملSpherical splitting of 3-orbifolds
The famous Haken-Kneser-Milnor theorem states that every 3-manifold can be expressed in a unique way as a connected sum of prime 3manifolds. The analogous statement for 3-orbifolds has been part of the folklore for several years, and it was commonly believed that slight variations on the argument used for manifolds would be sufficient to establish it. We demonstrate in this paper that this is n...
متن کاملCovering Spaces of Arithmetic 3-orbifolds
This paper investigates properties of finite sheeted covering spaces of arithmetic hyperbolic 3-orbifolds (see §2). The main motivation is a central unresolved question in the theory of closed hyperbolic 3-manifolds; namely whether a closed hyperbolic 3-manifold is virtually Haken. Various strengthenings of this have also been widely studied. Of specific to interest to us is the question of whe...
متن کاملGeometrization of 3-orbifolds of Cyclic Type
A 3-dimensional orbifold is a metrizable space with coherent local models given by quotients of R by finite subgroups of O(3). For example, the quotient of a 3-manifold by a properly discontinuous group action naturally inherits a structure of a 3-orbifold. Such an orbifold is said to be very good when the group action is finite. For a general background about orbifolds see [BS1,2], [DaM], [Sc]...
متن کامل1 4 . 3 D Hierarchies for Animation
Geometric representation associated with computer-assisted modeling has proven to be very usefull to visualize and understand the structure and behavior of a wide spectrum of entities (Foley et al. 1990). But if we examine the scope of the current 3D geometric models, we notice that they tend to embrace a static view of the information structure. In this chapter, we are particularly interested ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1988
ISSN: 0166-8641
DOI: 10.1016/0166-8641(88)90025-9