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I have tried to find them over the internet, but am lacking a resource that rigorously defines these two terms.

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An inclusion-wise maximal set among a collection of sets is a set that is not a subset of some other set in the collection. An inclusion-wise minimal set among a collection of sets is a set in the collection that is not a superset of any other set in the collection.

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  • $\begingroup$ Thank you. That was concise and apt. $\endgroup$
    – Aseem Dua
    Nov 22, 2014 at 18:58
  • $\begingroup$ @Aseem You're welcome. $\endgroup$
    – Matt Samuel
    Nov 22, 2014 at 18:58

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