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 definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration 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 nforum 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 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.
   • CommentAuthorMike Shulman
   • CommentTimeMar 1st 2019
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexCreated page with definition and examples, mainly because I wanted to record the relationship between the classical $\lhd$ and Lurie's $\ll$. <a href="https://ncatlab.org/nlab/revision/sharply+smaller+cardinal/1">v1</a>, <a href="https://ncatlab.org/nlab/show/sharply+smaller+cardinal">current</a>

   Created page with definition and examples, mainly because I wanted to record the relationship between the classical $\lhd$ and Lurie’s $\ll$.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorDavidRoberts
   • CommentTimeMar 1st 2019
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexs/$\lambda \lhd \mu$/$\lambda \unlhd \mu$/ <a href="https://ncatlab.org/nlab/revision/diff/sharply+smaller+cardinal/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/sharply+smaller+cardinal/2">v2</a>, <a href="https://ncatlab.org/nlab/show/sharply+smaller+cardinal">current</a>

   s/$\lambda \lhd \mu$/$\lambda \unlhd \mu$/

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeMar 2nd 2019
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexAdded links to some MO questions. <a href="https://ncatlab.org/nlab/revision/diff/sharply+smaller+cardinal/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/sharply+smaller+cardinal/3">v3</a>, <a href="https://ncatlab.org/nlab/show/sharply+smaller+cardinal">current</a>

   Added links to some MO questions.

   diff, v3, current

4. • CommentRowNumber4.
   • CommentAuthorMike Shulman
   • CommentTimeMar 3rd 2019
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexAdded link to MO answer showing that "$\lambda\lhd\mu$ \implies $\lambda\ll\mu$" is independent of ZFC. <a href="https://ncatlab.org/nlab/revision/diff/sharply+smaller+cardinal/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/sharply+smaller+cardinal/4">v4</a>, <a href="https://ncatlab.org/nlab/show/sharply+smaller+cardinal">current</a>

   Added link to MO answer showing that “$\lambda\lhd\mu$ \implies $\lambda\ll\mu$” is independent of ZFC.

   diff, v4, current