Open AccessOn posets and independence spaces
Author(s) -
Hua Mao
Publication year - 2014
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.05.005
Subject(s) - independence (probability theory) , mathematics , partially ordered set , characterization (materials science) , isomorphism (crystallography) , discrete mathematics , algebra over a field , pure mathematics , statistics , materials science , chemistry , crystal structure , crystallography , nanotechnology
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