Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Reflexive Index of a Family of Sets

  • Zhao, Dongsheng (Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University)
  • Received : 2012.07.19
  • Accepted : 2013.04.24
  • Published : 2014.06.23
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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.

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References

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  2. The reflexivity index of a finite distributive lattice of subspaces vol.455, 2014, https://doi.org/10.1016/j.laa.2014.04.026
  3. Reflexive nests of finite subsets of a Banach space vol.420, pp.2, 2014, https://doi.org/10.1016/j.jmaa.2014.05.029