Title :
A new notion of strong-precompactness in L-topological spaces
Author :
Bai, Shizhong ; He, Xiaodan
Author_Institution :
Sch. of Math. & Comput. Sci., Wuyi Univ., Jiangmen, China
Abstract :
In this paper, the concept of strong-precompactness is introduced in L-topological spaces by means of strongly preopen L-sets and their inequality, where L is a complete De Morgan algebra. The new concept does not depend on the structure of basis lattice L which does not require any distributivity. Some fundamental properties of strong-precompactness are obtained. Especially, when L is a completely distributive De Morgan algebra, its many characterizations are presented.
Keywords :
algebra; set theory; topology; L-topological spaces; complete De Morgan algebra; distributive De Morgan algebra; strong-precompactness; strongly preopen L-sets; Barium; Noise measurement; L-topological spaces; strong-precompactness; strongly preopen L-sets;
Conference_Titel :
Electrical & Electronics Engineering (EEESYM), 2012 IEEE Symposium on
Conference_Location :
Kuala Lumpur
Print_ISBN :
978-1-4673-2363-5
DOI :
10.1109/EEESym.2012.6258662
