# Posets

Posets may refer to:

• Posets peak, a mountain, second highest of the Pyrenees
• Partially ordered sets

### Other articles related to "posets, poset":

List Of Forcing Notions - Product Forcing
... Finite products If P and Q are posets, the product poset P× Q has the partial order defined by (p1, q1) ≤ (p2, q2) if p1 ≤ p2 and q1 ≤ q2 ... Infinite products The product of a set of posets Pi, i I, each with a largest element 1 is the set of functions p on I with p(i) P(i) and such that p(i) = 1 ... The Easton product (after William Bigelow Easton) of a set of posets Pi, i I, where I is a set of cardinals is the set of functions p on I with p(i) P(i) and such that for ...
Galois Connection
... (typically) between two partially ordered sets (posets) ... sets or classes this article presents the common case of posets ... A Galois connection is rather weak compared to an order isomorphism between the involved posets, but every Galois connection gives rise to an isomorphism of certain sub-posets, as ...
Order Theory - Special Types of Orders
... posets with a least and greatest element (which are just the supremum and infimum of the empty subset), Lattices, in which every non-empty finite set has a ... Many other important properties of posets exist ... For example, a poset is locally finite if every closed interval in it is finite ...
Galois Connections As Morphisms
... also provide an interesting class of mappings between posets which can be used to obtain categories of posets ... to compose Galois connections given Galois connections (f ∗, f ∗) between posets A and B and (g ∗, g ∗) between B and C, the composite (g ∗f ...