Topology of Geometric Joins
نویسندگان
چکیده
منابع مشابه
Surgery and Geometric Topology
Ideas from the theory of topological stability of smooth maps are trans ported into the controlled topological category For example the controlled topologi cal equivalence of maps is discussed These notions are related to the classi cation of manifold approximate brations and manifold strati ed approximate brations In turn these maps form a bundle theory which can be used to describe neighborho...
متن کاملGeometric Topology of Stratified Spaces
A theory of tubular neighborhoods for strata in manifold stratified spaces is developed. In these topologically stratified spaces, manifold stratified approximate fibrations and teardrops play the role that fibre bundles and mapping cylinders play in smoothly stratified spaces. Applications include a multiparameter isotopy extension theorem, neighborhood germ classification and a topological ve...
متن کاملGeometric Topology & Visualizing 1-Manifolds
Ambient isotopic approximations are fundamental for correct representation of the embedding of geometric objects in R, with a detailed geometric construction given here. Using that geometry, an algorithm is presented for efficient update of these isotopic approximations for dynamic visualization with a molecular simulation. 1 Approximation and Topology for Visualization Figure 1(a) depicts a kn...
متن کاملSelectivity Estimation for Spatial Joins with Geometric Selections
Spatial join is an expensive operation that is commonly used in spatial database systems. In order to generate efficient query plans for the queries involving spatial join operations, it is crucial to obtain accurate selectivity estimates for these operations. In this paper we introduce a framework for estimating the selectivity of spatial joins constrained by geometric selections. The center p...
متن کاملA Course in Topology-based Geometric Modeling
The content of a course in Topology-based Geometric Modeling is presented. The key ideas are based upon simplicial notions issued from combinatorial topology. The well adequacy of these notions to geometric patches (such as Bézier patches) is pointed out. Topology and geometric notions are simultaneously presented in order to show their complementarity.
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: Discrete & Computational Geometry
سال: 2015
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-015-9665-2