On posets and independence spaces

Document Type : Original Article

Author

Department of Mathematics, Hebei University, Baoding 071002, China

http://dx.doi.org/10.1016/j.joems.2013.05.005

Abstract

By constructing a correspondence relationship between independence spaces and posets,
under isomorphism, this paper characterizes loopless independence spaces and applies this characterization
to reformulate certain results on independence spaces in poset frameworks. These state
that the idea provided in this paper is a new approach for the study of independence spaces. We
outline our future work finally.

Keywords