On posets and independence spaces | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 22, Issue 1, 2014, Pages 1-5 PDF (388.56 K) | ||
| Document Type: Original Article | ||
| DOI: 10.1016/j.joems.2013.05.005 | ||
| Author | ||
| Hua Mao | ||
| Department of Mathematics, Hebei University, Baoding 071002, China | ||
| 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 | ||
| Independence space; Independent set; Poset; Boolean lattice | ||
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