拓撲同胚 的英文怎麼說
中文拼音 [tàpūtóngpēi]
拓撲同胚
英文
topological homeomorphism-
Properties of topologically stable homeomorphism on compact manifold
拓撲穩定同胚的性質In the first part, the concepts of the completely normal spaces and strong completely normal spaces in l - topological spaces are defined, which are the generalization of the completely normal spaces in general topological spaces. they are some good properties such as hereditary, weakly homeomorphism invariant properties, good l - extension, but they are n ' t producible in general. moreover, their several sufficient and necessary conditions in induced spaces are presented
第一部分的主要內容如下:第一部分這一部分是將一般拓撲學的完全正規分離性的概念推廣到了l -拓撲空間,給出了l -拓撲空間的完全正規分離性和強完全正規分離性的定義並討論了它們的若干性質,比如,它們都是可遺傳的,弱同胚不變的, 「 lowen意義下好的推廣」等。In the framework, a control mesh may be arbitrary one - dimensional or two - dimensional orientated topological manifold, and the curve or surface is defined on differential manifold homeomorphic to the control mesh with a potential function as its basis functions. this method is an extension of nurbs, which efficiently overcomes the limitations of nurbs
廣義有理參數曲線曲面定義在與控制網格拓撲同胚的微分流形上,以高度一般的勢函數為基函數,其控制網格可以是任意的一維拓撲流形和二維可定向拓撲流形。Its properties and design method is discussed in chapter 4. for control meshes with arbitrary topology, we present a universal method in chapter 5 to construct parametric curves and surfaces. generalized rational parametric surface can be controlled precisely and flexible, and it is easy to model local features and 3d primitives
然後,在第五章中,我們將控制網格進一步推廣到任意可定向二維拓撲流形,提出了一個通用的方法將控制網格映射到與之拓撲同胚的微分流形上,統一了廣義有理參數曲線曲面的構造過程。Furthemore, a weakly induced stratified t1 and stratified regular space is a stratified completely t2 space. the second section : it illustrates that a conclusion ( ( p ) [ ( p ) ] ) is wrong which is used by the proof of theorem 2. 2 of [ 13 ] via a example
這種層完全t _ 2分離性具有弱同胚不變性,遺傳性,在積運算下保持等性質,且弱誘導的層t _ 1的層正則l -拓撲空間是層完全t _ 2的。The classical conclusions of topological linearication of the differential equation x " - ax + h ( x ) ( none of the eigenvalues of a has zero real part ) are given by hartman and grobman. but, their conclusions are only limited to the small neighborhood of origin
微分方程x ' = ax + h ( x ) (其中a的特徵根實部異于零)拓撲線性化的經典結論是由hartman和grobman給出的,但他們的結論都是局部拓撲線性化,即要求同胚函數限制在原點小領域內。分享友人