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 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 internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure 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 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.
   • CommentAuthorDmitri Pavlov
   • CommentTimeFeb 23rd 2016
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexI created [[prestable ∞-category]].

   I created prestable ∞-category.

2. • CommentRowNumber2.
   • CommentAuthorDavidRoberts
   • CommentTimeFeb 23rd 2016
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexI changed the grey link to $E_1$-ring to link to [[E1-ring]], to be consistent with [[En-algebra]].

   I changed the grey link to $E_1$-ring to link to E1-ring, to be consistent with En-algebra.

3. • CommentRowNumber3.
   • CommentAuthorDmitri Pavlov
   • CommentTimeFeb 23rd 2016
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexE1-rings/E1-algebras already seem to be covered at <https://ncatlab.org/nlab/show/En-algebra#algebras>

   E1-rings/E1-algebras already seem to be covered at https://ncatlab.org/nlab/show/En-algebra#algebras

4. • CommentRowNumber4.
   • CommentAuthorDavidRoberts
   • CommentTimeFeb 24th 2016
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItex@Dmitri, I wasn't sure if you were thinking of making a separate page for $E_n$-rings, but I guess they are just $E_n$-algebras over the sphere spectrum, in some sense?

   @Dmitri,

   I wasn’t sure if you were thinking of making a separate page for $E_n$-rings, but I guess they are just $E_n$-algebras over the sphere spectrum, in some sense?

5. • CommentRowNumber5.
   • CommentAuthorMike Shulman
   • CommentTimeFeb 24th 2016
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexFWIW, I think the standard nLab convention is still to say "$(\infty,1)$-category", at least in the titles of articles.

   FWIW, I think the standard nLab convention is still to say “$(\infty,1)$-category”, at least in the titles of articles.

6. • CommentRowNumber6.
   • CommentAuthorDmitri Pavlov
   • CommentTimeFeb 24th 2016
   • (edited Feb 24th 2016)
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexI changed the title to [[prestable (∞,1)-category]] and added a few redirects.

   I changed the title to prestable (∞,1)-category and added a few redirects.

7. • CommentRowNumber7.
   • CommentAuthorDylan Wilson
   • CommentTimeFeb 24th 2016
   • PermaLink
   Author: Dylan Wilson
   Format: MarkdownItexIt's worth noting that the nLab's definition of Spanier-Whitehead category is different than the standard one (and the one which Lurie uses). The nLab definition only covers (finite) suspension spectra, but I think the usual definition starts with a category of pairs (X,n) where n is an integer and this embeds into the category generated by finite spectra (so finite desuspensions of suspension spectra of finite CW-complexes).

   It’s worth noting that the nLab’s definition of Spanier-Whitehead category is different than the standard one (and the one which Lurie uses). The nLab definition only covers (finite) suspension spectra, but I think the usual definition starts with a category of pairs (X,n) where n is an integer and this embeds into the category generated by finite spectra (so finite desuspensions of suspension spectra of finite CW-complexes).

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeFeb 24th 2016
   • PermaLink
   Author: Urs
   Format: MarkdownItexhad meant to add this. Done now, see at _[[Spanier-Whitehead category]]_

   had meant to add this. Done now, see at Spanier-Whitehead category