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title = "Semilattice"
author = "Yann Herklotz"
tags = []
categories = []
backlinks = ["2e1a"]
forwardlinks = []
zettelid = "2e1a1"
+++
- partially ordered set that has either a join or a meet
- There are join-semilattice (least upper bound, supremum)
- There are meet-semilattice (greatest lower bound, infimum)
- a lattice is both a meet-semilattice and a join-semilattice
- A set with finite elements is always a lattice, because if we take
two distinct elements, one will be the least element (join) and the
other will be most element (meet)
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