Some Topics concerning Homeomorphic Parameterizations
نویسندگان
چکیده
In this survey, we consider several questions pertaining to homeomorphisms, including criteria for their existence in certain circumstances, and obstructions to their existence.
منابع مشابه
Smoothings and Homeomorphisms for Hubert Manifolds by Dan Burghelea and David Henderson
0. The aim of this paper is to announce several results concerning smoothing Hubert manifolds and some of their consequences for homeomorphisms. All manifolds are assumed to be Hausdorff, paracompact, and separable with local model the oo-dimensional separable Hubert space H. (All separable infinite dimensional Fréchet spaces are homeomorphic to H.) As usual, we denote by DTM the unit disc and ...
متن کاملHomeomorphic Bernoulli Trial Measures and Ergodic Theory
We survey the some of the main results, ideas and conjectures concerning two problems and their connections. The first problem concerns determining when two Bernoulli trial measures are homeomorphic to each other, i.e. when one is the image measure of the other via a homeomorphism of the Cantor space. The second problem concerns the following. Given a positive integer k characterize those Berno...
متن کاملDomain construction for volumetric cross-parameterization
We present an algorithm in this paper for constructing volumetric domains with consistent topology to parameterize three-manifold solid models having homeomorphic topology. The volumetric parameterizations generated by our approach share the same set of base domains and are constrained by the corresponding anchor points. Our approach allows users to control interior mappings by specifying inter...
متن کاملOrbit Spaces Arising from Isometric Actions on Hyperbolic Spaces
Let be a differentiable action of a Lie group on a differentiable manifold and consider the orbit space with the quotient topology. Dimension of is called the cohomogeneity of the action of on . If is a differentiable manifold of cohomogeneity one under the action of a compact and connected Lie group, then the orbit space is homeomorphic to one of the spaces , , or . In this paper we suppo...
متن کاملCores of Alexandroff Spaces
Following Kukie la, we show how to generalize some results from May’s book [4] concerning cores of finite spaces to cores of Alexandroff spaces. It turns out that finite space methods can be extended under certain local finiteness assumptions; in particular, every bounded-paths space or countable finite-paths space has a core, and two bounded-paths spaces or countable finite-paths spaces are ho...
متن کامل