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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 nlab noncommutative noncommutative-geometry number-theory object 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.
   • CommentAuthorDavid_Corfield
   • CommentTimeMar 6th 2018
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   Author: David_Corfield
   Format: MarkdownItexI see there's a paper out: * Hoang Kim Nguyen, George Raptis, Christoph Schrade, _Adjoint functor theorems for ∞-categories_, ([arXiv:1803.01664](https://arxiv.org/abs/1803.01664)) This is more general than Lurie's result that we have recorded at [[adjoint (infinity,1)-functor theorem]].

   I see there’s a paper out:

   • Hoang Kim Nguyen, George Raptis, Christoph Schrade, Adjoint functor theorems for ∞-categories, (arXiv:1803.01664)

   This is more general than Lurie’s result that we have recorded at adjoint (infinity,1)-functor theorem.

2. • CommentRowNumber2.
   • CommentAuthorMike Shulman
   • CommentTimeMar 6th 2018
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   Author: Mike Shulman
   Format: MarkdownItexSomeone should record their version on our page, or at least link to their paper.

   Someone should record their version on our page, or at least link to their paper.

3. • CommentRowNumber3.
   • CommentAuthorDavid_Corfield
   • CommentTimeMar 7th 2018
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   Author: David_Corfield
   Format: MarkdownItexOk. I've put in something, but there's no doubt a need to tidy up, and relate their language to what we may already have.

   Ok. I’ve put in something, but there’s no doubt a need to tidy up, and relate their language to what we may already have.

4. • CommentRowNumber4.
   • CommentAuthorMike Shulman
   • CommentTimeMar 8th 2018
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   Author: Mike Shulman
   Format: MarkdownItexThanks! Is the notion of "h-initial object" one that's on the nLab anywhere else we can link to or make a stub?

   Thanks! Is the notion of “h-initial object” one that’s on the nLab anywhere else we can link to or make a stub?

5. • CommentRowNumber5.
   • CommentAuthorDavid_Corfield
   • CommentTimeMar 8th 2018
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   Author: David_Corfield
   Format: MarkdownItexI don't think so, so I made a stub [[h-initial object]].

   I don’t think so, so I made a stub h-initial object.

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeMar 8th 2018
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   Author: Urs
   Format: MarkdownItexI have added minim cross-linking with [[initial object in an (∞,1)-category]]. also added the redirect to the plural form. We should probably say that "h-initial" is short for "homotopy-initial".

   I have added minim cross-linking with initial object in an (∞,1)-category. also added the redirect to the plural form.

   We should probably say that “h-initial” is short for “homotopy-initial”.