Arhangel' skit posed the problem:How a class of topological spaces has the orthogonality or cleavability? The partial solution on this problem has been obtained for the class of spaces which are multiplicative by ...Arhangel' skit posed the problem:How a class of topological spaces has the orthogonality or cleavability? The partial solution on this problem has been obtained for the class of spaces which are multiplicative by Arhangel' skit, Bella and the others. In this paper we shall prove that some classes of generalized metric spaces which are non-multiplicative also have the orthogonality or cleavability.展开更多
From a new Lie algebra proposed by Zhang, two expanding Lie algebras and its corresponding loop algebrasare obtained.Two expanding integrable systems are produced with the help of the generalized zero curvature equati...From a new Lie algebra proposed by Zhang, two expanding Lie algebras and its corresponding loop algebrasare obtained.Two expanding integrable systems are produced with the help of the generalized zero curvature equation.One of them has complex Hamiltion structure with the help of generalized Tu formula (GTM).展开更多
The authors study a linear inverse problem with a biological interpretation,which is modelled by a Fredholm integral equation of the first kind, where the kernel is represented by step functions. Based on different as...The authors study a linear inverse problem with a biological interpretation,which is modelled by a Fredholm integral equation of the first kind, where the kernel is represented by step functions. Based on different assumptions, identifiability, stability and reconstruction results are obtained.展开更多
文摘Arhangel' skit posed the problem:How a class of topological spaces has the orthogonality or cleavability? The partial solution on this problem has been obtained for the class of spaces which are multiplicative by Arhangel' skit, Bella and the others. In this paper we shall prove that some classes of generalized metric spaces which are non-multiplicative also have the orthogonality or cleavability.
基金Supported by the Natural Science Foundation of China under Grant Nos.60971022,61072147,and 11071159the Natural Science Foundation of Shanghai under Grant No.09ZR1410800+1 种基金the Shanghai Leading Academic Discipline Project under Grant No.J50101the National Key Basic Research Project of China under Grant No.KLMM0806
文摘From a new Lie algebra proposed by Zhang, two expanding Lie algebras and its corresponding loop algebrasare obtained.Two expanding integrable systems are produced with the help of the generalized zero curvature equation.One of them has complex Hamiltion structure with the help of generalized Tu formula (GTM).
基金partially supported by the Basal-CMM Project,the Fondecyt Grant(No.1130317,1111012,1140773)"Agence Nationale de la Recherche" Project CISIFS(No.ANR-09-BLAN-0213-02)partially supported by ECOS-CONICYT C13E05 and Basal-CeBiB
文摘The authors study a linear inverse problem with a biological interpretation,which is modelled by a Fredholm integral equation of the first kind, where the kernel is represented by step functions. Based on different assumptions, identifiability, stability and reconstruction results are obtained.
