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Results tagged with order-theory
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user 38724
9
votes
Accepted
A characterization of the poset of filters on a set
Under Stone-duality, the lattices which are isomorphic to the lattices of filters on a Boolean algebra are precisely the compact zero-dimensional frames. The lattices of filters on a complete Boolean …
11
votes
Embedding a Brouwerian lattice into a Boolean lattice
In Peter Johnstone's book Stone Spaces, on page 53, we have the following corollary.
$\mathbf{Corollary}$ Every frame is isomorphic to a subframe of a complete Boolean algebra.
Of course by a su …