The Research On The Expandable Spaces

Content: The generalized paracompact space is an elementary and important part in general topology. The expandable space is a very important generalized paracompact. In this paper, we investigate the expandable space systematically. The main contents is as follows:In part 1, we research the inverse limit and tychonoff products about the submetaexpandable space, In part 2, we discuss the inverse limit, tychonoff products and mapping property of the cf - expandable space, In part 3, we research the operation and mapping property, the inverse limit, tychonoff products of the B_t (i = 0,1,2) expandable space.