Characterizing Continuous dcpos by Liminf Convergence of Filters
Characterizing Continuous dcpos by Liminf Convergence of Filters
摘要
It is proved in this note that,under a mild assumption,a dcpo L is continuous if and only if the liminf convergence on L is topological.
It is proved in this note that,under a mild assumption,a dcpo L is continuous if and only if the liminf convergence on L is topological.
基金
The NSF(10771147) of China
参考文献9
-
1Grierz, G., Hofmann, K. H., Keimel, K., Lawson, J. D., Mislove, M. and Scott, D. S., Continuous Lattices and Domain, Cambridge University Press, Cambridge, 2003.
-
2Kou, H., Liu, Y. M. and LuO, M. K., On meet-continuous dcpos, in: Zhang, G. Q., Lawson, J. D., Liu, Y. M. and Luo, M. K. (eds.), Domain Theory, Logic and Computation, Kluwer Acad. Publ., Dordrecht, 2003, pp.137-149.
-
3Erne, M., Scott convergence and Scott topology in partially ordered sets II, in: Banaschewski, B. and Hofmann, R. E. (eds.), Continuous Lattices, Lecture Notes in Math., Vol. 871, Springer, Berlin, 1981, pp.61-96.
-
4Heckmann, R., A non-topological view of dcpos as convergence spaces, Theoret. Comput. Sci., 305(2003), 159-186.
-
5Schwarz, F. and Weck, S., Scott topology, Isbell topology, and continuous convergence, in" Hofmann, R. E. and Hofmann, K. H. (eds.), Continuous Lattices and Their Applications., Lecture Notes in Pure and Appl. Math., Vol. 101, Marcel Dekker, New York, 1985, pp.251-273.
-
6Weck, S., Scott convergence and Scott topolgy in partially odered sets I, in: Banaschewski, B. and Hofmann, R. E. (eds.), Continuous Lattices, Lecture Notes in Math., Vol. 871, Springer, Berlin, 1981, pp.372-383.
-
7Adamek, J., Herrlich, H. and Strecker, G. E., Abstract and Concrete Categories, The Joy of Cats, John Wiley & Sons, New York, 1990.
-
8Preuss, G., Theory of Topological Structures, An Approach to Categorical Topology, D. Reidel Publishing Company, Dordrecht, 1988.
-
9Engelking, R., General Topology, Polish Scientific Publishers, Warszawa, 1977.
-
1张鸿雁,宋世初.压缩空气及气体的过滤[J].低温与特气,1985,3(2):64-67. 被引量:1
-
2朱广进,李介谷.Some Problems of 2D Morphological and Median Filters[J].Advances in Manufacturing,1997(3):245-248.
-
3沃特世超高效合相色谱(UltraPerformance Convergence Chromatography)再次重新定义色谱分离科学[J].环境化学,2012,31(3):384-384.
-
4Hayder A.Ahmed.Improved narrow wavelength band blocking filters[J].Chinese Optics Letters,2009,7(4):352-354.
-
5Fei Pusheng,Chen Zhong (Department of Mathematics, Wuhan University, Wuhan 430072, China).An Improved Quasi-Newton Method for Unconstrained Optimization[J].Wuhan University Journal of Natural Sciences,1996,1(1):35-37.
-
6张俊超,方明,邵宇川,晋云霞,贺洪波.Rugate filters prepared by rapidly alternating deposition[J].Chinese Physics B,2011,20(9):258-261. 被引量:1
-
7Guofeng WANG,Kaifeng ZHANG and Dezhong WU School of Materials Science and Engineering, Harbin Institute of Technology Harbin 150001, China.Application of Fractal Theory in the Synthesis of Nano-sized 3Y-TZP Superplastic Ceramic Materials[J].Journal of Materials Science & Technology,2001,17(1):121-122. 被引量:4
-
8何影记,罗莉,朱伟玲,汪河洲.Effect of the third-order filter term on soliton interactions in soliton transmission systems with filters[J].Chinese Optics Letters,2009,7(11):986-989.
-
9Marco Song,George He,Tony An.Single Mode DR Filters for Wireless Base Stations[J].ZTE Communications,2011,9(2):12-19.
-
10李志芳,李晖,谢文明,范玲玲.A method based on the average granulometric size of speckle for characterizing the scattering media[J].Optoelectronics Letters,2010,6(5):376-379.