Topology,as a geometrical branch,studies spaces,whose essence lies in its topological equivalence.As far as literary criticism is concerned,the author’s writing purpose can be regarded as an open set in topology,whic...Topology,as a geometrical branch,studies spaces,whose essence lies in its topological equivalence.As far as literary criticism is concerned,the author’s writing purpose can be regarded as an open set in topology,which contains a number of different topological spaces.No matter how these spaces transform,they remain fundamental properties as long as their essence is invariant.From the perspective of topology,Shakespeare constructed three equivalent metaphorical topological spaces:one-pound-flesh agreement,marriage casket“lottery”,and wedding ring trick.The present paper purports to explore how Shakespeare constructed the three equivalent topological spaces to express the theme of literature:the ubi sunt1 motif of life philosophy.展开更多
In this paper, the authors prove that the flows of homogeneous vector field Q(x) at infinityare topologically equivalent to the flows of the tangent vector field QT(u) (u∈S2) on thesphere S2, and show the theorems fo...In this paper, the authors prove that the flows of homogeneous vector field Q(x) at infinityare topologically equivalent to the flows of the tangent vector field QT(u) (u∈S2) on thesphere S2, and show the theorems for the global topological classification of Q(x). They derivethe necessary and sufficient conditions for the global asymptotic stability and the boundednessof vector field Q(x), and obtain the criterion for the global topological equivalence of twohomogeneous vector fields.展开更多
In this paper, a theorem of the local qualitative classification of equllibrium of a special type of higher order ordinary differential system is provided for establishing the theoretical bases to extend the planer. ...In this paper, a theorem of the local qualitative classification of equllibrium of a special type of higher order ordinary differential system is provided for establishing the theoretical bases to extend the planer. qualitative nomgraphy in [1] to the special geometricaljy qualitative method in 3-dimensions.展开更多
In this paper we discuss the recurrent linear system with exponential dichotomy, and prove that the system is topologically equivalent to the standard system where .
文摘Topology,as a geometrical branch,studies spaces,whose essence lies in its topological equivalence.As far as literary criticism is concerned,the author’s writing purpose can be regarded as an open set in topology,which contains a number of different topological spaces.No matter how these spaces transform,they remain fundamental properties as long as their essence is invariant.From the perspective of topology,Shakespeare constructed three equivalent metaphorical topological spaces:one-pound-flesh agreement,marriage casket“lottery”,and wedding ring trick.The present paper purports to explore how Shakespeare constructed the three equivalent topological spaces to express the theme of literature:the ubi sunt1 motif of life philosophy.
文摘In this paper, the authors prove that the flows of homogeneous vector field Q(x) at infinityare topologically equivalent to the flows of the tangent vector field QT(u) (u∈S2) on thesphere S2, and show the theorems for the global topological classification of Q(x). They derivethe necessary and sufficient conditions for the global asymptotic stability and the boundednessof vector field Q(x), and obtain the criterion for the global topological equivalence of twohomogeneous vector fields.
文摘In this paper, a theorem of the local qualitative classification of equllibrium of a special type of higher order ordinary differential system is provided for establishing the theoretical bases to extend the planer. qualitative nomgraphy in [1] to the special geometricaljy qualitative method in 3-dimensions.
基金This work was supported by Fujian Education Department Science Foundation K20009.
文摘In this paper we discuss the recurrent linear system with exponential dichotomy, and prove that the system is topologically equivalent to the standard system where .
