推广了submeso紧空间的定义,给出了弱submeso紧空间的概念,并证明了完备映射逆保持弱submeso紧空间及当定义域空间和像空间是正则空间时,闭Lindelof映射逆保持弱submeso紧空间.
According to the definition of the submesocompact space,we define the weakly-submesocompact space,and prove perfect mappings inversely preserve weakly-submesocompactness and closed Lindelof mappings inversely preserve weakly-submesocompactness on regular space.