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http://dx.doi.org/10.5666/KMJ.2014.54.2.263

Reflexive Index of a Family of Sets  

Zhao, Dongsheng (Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University)
Publication Information
Kyungpook Mathematical Journal / v.54, no.2, 2014 , pp. 263-269 More about this Journal
Abstract
As a further study on reflexive families of subsets, we introduce the reflexive index for a family of subsets of a given set and show that the index of a finite family of subsets of a finite or countably infinite set is always finite. The reflexive indices of some special families are also considered.
Keywords
reflexive families; reflexive index; endomapping;
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