Compact sets in reasoning closure spaces
LI Sheng-gang · Basic Sciences Journal of Textile Universities · 2012
The concept of compact set in a reasoning closure space is defined by using the notion of closed set,and is characterized by using the notion of open set and non-standard method,respectively.All compact sets in two reasoning closure spaces are discribed exactly,based on this,some sufficient conditions for a set to be a compact set in a reasoning closure space are given.It is proved that compact sets in a reasoning closure space are preserved by continous mappings.