An inverse Fraïssé limit for finite posets and duality for posets and lattices
Volume 175 / 2024
Colloquium Mathematicum 175 (2024), 277-307
MSC: Primary 06A06; Secondary 18B35, 06D05
DOI: 10.4064/cm9003-12-2023
Published online: 31 July 2024
Abstract
We consider the category of all finite partial orderings with quotient maps as arrows and construct the Fraïssé sequence in this category. Then we use well known relations between partial orders and lattices to construct a sequence of lattices associated with the Fraïssé sequence. Each of these two sequences has a limit object – an inverse limit, which is also an object of our interest.
