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homeomorphism n.【化學】異質同晶(現象)。 homeomorphou...

homeopath

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并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。

It is proved that a homeomorphism on a compact metric space with the average - shadowing property has only one chain component which is the whole space . in particular , every point is chain recurrent . using this result it is given a short proof for a recent theorem of sakai 證明了緊致度量空間上具有平均偽軌跟蹤性質的同胚只有一個鏈分支,這個鏈分支就是全空間。特別的,每個點是鏈回歸的。利用這個結果,給出sakai新近一個定理的簡短證明。

In section 2 . 4 , a sufficient condition is given for a distal homeomorphism not having the potp . in the end of this section , we describe the distal homeomorphisms of intervals and circles . in chapter , we study some other shadowing properties 4節給出了緊致度量空間上的distal自同胚不具有偽軌跟蹤性的一個充分條件,并給出了區間上和圓周上distal同胚的等價刻劃。

Thirdly , we consider the n - dimensional duffing type equation with damping term . by virtue of homeomorphism , extension and fixed point method , we discuss the existence of periodic solution under the nonresonance condition 再次,我們考慮n維的帶有阻尼項的duffing型方程,運用同胚延拓及不動點方法,討論了非共振條件下周期解的存在性問題。

Abstract : the homeomorphism classification of graphlike manifolds can be transformed into a 2 - edge - colouring enumeration problem for graphs . this paper is a further study of this new - type enumeration problem 文摘:圖式流形的同胚分類可轉化為圖的一類2 -邊著色計數問題.本文進一步討論了這個計數問題的基本方法

Abstract : the present paper presents the chain recurrent set with the expansive homeomorphism and shadowing properties and this connection for the mistake in literature 1 and its proof 文摘:給出具有跟蹤性可擴同胚的鏈回歸集的幾個性質,指出以往文獻中證明鏈回歸集無環性時的錯誤之處,并給出嚴格的證明

A sufficient condition is given for a homeomorphism with the the average shadowing property to be minimal . in section 3 . 3 , we prove that if / has the potp and is equicontinuous , then / has the limit shadowing property 2節討論了平均跟蹤與偽軌跟蹤的關系,并給了有平均跟蹤的自同胚是極小的一個充分條件。

The present paper presents the chain recurrent set with the expansive homeomorphism and shadowing properties and this connection for the mistake in literature [ 1 ] and its proof 摘要給出具有跟蹤性可擴同胚的鏈回歸集的幾個性質,指出以往文獻中證明鏈回歸集無環性時的錯誤之處,并給出嚴格的證明。

In section 2 . 2 , it is proved that if an expansive homeomorphism of a compact metric space have the potp , then it has the potp in its basic sets 2節證明了:對于緊致度量空間上的自同胚,若它有偽軌跟蹤性且是膨脹的,則它在鏈分支上保持偽軌跟蹤性。

Discussion on the continuity and homeomorphism of quotient space mapping 商空間映射的連續性及同胚性的討論

Research and development of graphlike manifolds homeomorphism class 圖式流形拓撲分類的研究進展

Properties of topologically stable homeomorphism on compact manifold 拓撲穩定同胚的性質

Continuous and homeomorphism on mapping of quotient space 商空間映射的連續性及同胚性