Category:Frames
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This category contains results about Frames.
Definitions specific to this category can be found in Definitions/Frames.
Let $\struct {L, \preceq}$ be a complete lattice.
$\struct {L, \preceq}$ is a frame if and only if $\struct {L, \preceq}$ satisfies the infinite join distributive law:
\(\ds \forall a \in L, S \subseteq L:\) | \(\ds a \wedge \bigvee S = \bigvee \set {a \wedge s : S \in S} \) |
where $\bigvee S$ denotes the supremum $\sup S$.
Subcategories
This category has the following 2 subcategories, out of 2 total.
F
- Frame Homomorphisms (4 P)
L
Pages in category "Frames"
The following 6 pages are in this category, out of 6 total.