In this note, we prove that the Banaschewski-Mulvey＇s compact regular reflection construction of locales is isomorphic to the Johnstone Wallman compcactification of locales. We show that a subfit semi-normal locale i...In this note, we prove that the Banaschewski-Mulvey＇s compact regular reflection construction of locales is isomorphic to the Johnstone Wallman compcactification of locales. We show that a subfit semi-normal locale is normal, but the converse is not true in general. Furthermore, we generalize the main result in .展开更多
In this paper,applications of CWC-mappings are discussed in metrization theorem, and some new metrization theorems of topological spaces are obtained by Nagata's condition and weakγ-spaces,which generalizes sever...In this paper,applications of CWC-mappings are discussed in metrization theorem, and some new metrization theorems of topological spaces are obtained by Nagata's condition and weakγ-spaces,which generalizes several metrization theorems obtained by R.E.Hodel and J.Nagata.展开更多
In this paper, we show that any a-complete Banach lattice, with a σ-order semicontinuous but not σ-order continuous norm, contains an asymptotically isometric copy of l^∞. We also get that the Fenchel-Orlicz space ...In this paper, we show that any a-complete Banach lattice, with a σ-order semicontinuous but not σ-order continuous norm, contains an asymptotically isometric copy of l^∞. We also get that the Fenchel-Orlicz space with the Orlicz norm may not contain an asymptotically isometric copy of l^∞.展开更多
The line segment intersection problem is one of the basic problems in computational geometry and has been widely used in spatial analysis in Geographic Information Systems （GIS）. Lots of traditional algorithms study...The line segment intersection problem is one of the basic problems in computational geometry and has been widely used in spatial analysis in Geographic Information Systems （GIS）. Lots of traditional algorithms study the problem in a serial environment. However, in GIS, a spatial object is much more complicated and is considered to be always composed of multiple line segments, and one line segment connects another line segment at its endpoint. On the other hand, along with the advances made in computer hardware, more and more personal computers have multiple cores or CPUs equipped. Thus, to make full use of the increasing computing resources, parallel technique is applied as one of the most available methods. Apparently, the traditional algorithms should be improved to take advantage of the technologies. Under these circumstances, based on the modified uniform grid algorithm, which is adapted to dealing with spatial objects in GIS, this paper proposes a parallel strategy in a shared memory architecture. Also, experimental results are given in the final part of this paper to demonstrate the efficiency this strategy brings.展开更多
基金the National Natural Science Foundation of China （No. 10331010）.
文摘In this note, we prove that the Banaschewski-Mulvey＇s compact regular reflection construction of locales is isomorphic to the Johnstone Wallman compcactification of locales. We show that a subfit semi-normal locale is normal, but the converse is not true in general. Furthermore, we generalize the main result in .
基金the National Natural Science Foundation of China （No. 10571151） the Natural Science Foundation of Fujian Province （No. 2006J0228） the Natural Science Foundation of Education Department of Fujian Province （No. JB04298）.Acknowledgment The author is very grateful to Professor Lin Shou for his help and the referee for his valuable suggestions.
文摘In this paper,applications of CWC-mappings are discussed in metrization theorem, and some new metrization theorems of topological spaces are obtained by Nagata's condition and weakγ-spaces,which generalizes several metrization theorems obtained by R.E.Hodel and J.Nagata.
基金the National Natural Science Foundation of China （Nos. 10571090 Foundation of Nankai University.
文摘In this paper, we show that any a-complete Banach lattice, with a σ-order semicontinuous but not σ-order continuous norm, contains an asymptotically isometric copy of l^∞. We also get that the Fenchel-Orlicz space with the Orlicz norm may not contain an asymptotically isometric copy of l^∞.
文摘The line segment intersection problem is one of the basic problems in computational geometry and has been widely used in spatial analysis in Geographic Information Systems （GIS）. Lots of traditional algorithms study the problem in a serial environment. However, in GIS, a spatial object is much more complicated and is considered to be always composed of multiple line segments, and one line segment connects another line segment at its endpoint. On the other hand, along with the advances made in computer hardware, more and more personal computers have multiple cores or CPUs equipped. Thus, to make full use of the increasing computing resources, parallel technique is applied as one of the most available methods. Apparently, the traditional algorithms should be improved to take advantage of the technologies. Under these circumstances, based on the modified uniform grid algorithm, which is adapted to dealing with spatial objects in GIS, this paper proposes a parallel strategy in a shared memory architecture. Also, experimental results are given in the final part of this paper to demonstrate the efficiency this strategy brings.
