containers: intersections for Set, along with Semigroup newtype
Viktor Dukhovni
ietf-dane at dukhovni.org
Mon Dec 21 22:25:40 UTC 2020
On Mon, Dec 21, 2020 at 02:06:33PM -0800, David Casperson wrote:
> Lattices aren't necessarily isomorphic to their duals, even with
> bounded lattices. (Take, for instance, lcm and gcd on the
> non-negative integers. The primes are atoms, there are no
> co-atoms. [1])
But the non-negative integers with gcd and lcm are surely not a bounded
lattice. If we introduce an upper bound by restricting attention to
numbers that are factors of some number n > 1, then surely co-atoms
reappear in the form of n/p for each prime factor of n.
--
Viktor.
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