Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf sheaves simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorJohn Baez
   • CommentTimeMar 8th 2019
   • PermaLink
   Author: John Baez
   Format: MarkdownItexAdded material on the free join-semilattice on a poset. <a href="https://ncatlab.org/nlab/revision/diff/semilattice/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/semilattice/12">v12</a>, <a href="https://ncatlab.org/nlab/show/semilattice">current</a>

   Added material on the free join-semilattice on a poset.

   diff, v12, current

2. • CommentRowNumber2.
   • CommentAuthorSam Staton
   • CommentTimeMar 8th 2019
   • PermaLink
   Author: Sam Staton
   Format: MarkdownItexRemark that "To give a finitely generated downset is to give an antichain." <a href="https://ncatlab.org/nlab/revision/diff/semilattice/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/semilattice/13">v13</a>, <a href="https://ncatlab.org/nlab/show/semilattice">current</a>

   Remark that “To give a finitely generated downset is to give an antichain.”

   diff, v13, current

3. • CommentRowNumber3.
   • CommentAuthorJohn Baez
   • CommentTimeMar 10th 2019
   • PermaLink
   Author: John Baez
   Format: MarkdownItexAdded some stuff on semilattices as $Bool$-modules. <a href="https://ncatlab.org/nlab/revision/diff/semilattice/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/semilattice/16">v16</a>, <a href="https://ncatlab.org/nlab/show/semilattice">current</a>

   Added some stuff on semilattices as $Bool$-modules.

   diff, v16, current

4. • CommentRowNumber4.
   • CommentAuthorncfavier
   • CommentTimeOct 19th 2024
   • PermaLink
   Author: ncfavier
   Format: MarkdownItexnLab seems to disagree with Wikipedia (and seemingly most references on lattice theory) about whether a join- (resp. meet-) semilattice should have a bottom (resp. top) element. Is this intentional?

   nLab seems to disagree with Wikipedia (and seemingly most references on lattice theory) about whether a join- (resp. meet-) semilattice should have a bottom (resp. top) element. Is this intentional?