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.
   • CommentAuthorDavid_Corfield
   • CommentTimeOct 29th 2017
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexThere seem to be a lot of 'conic' geometric concepts floating about that we don't have entries for: * “conic sets” mentioned [here](https://nforum.ncatlab.org/discussion/202/distribution/?Focus=65063#Comment_65063) * conal manifold/conic bundle of Khavine's [Characteristics, Conal Geometry and Causality in Locally Covariant Field Theory](https://arxiv.org/abs/1211.1914) * conically smooth stratified spaces, of the [[stratified homotopy hypothesis]] program On the other hand, we do have [[conical space]]. Can anyone make sense of the zoo?

   There seem to be a lot of ’conic’ geometric concepts floating about that we don’t have entries for:

   • “conic sets” mentioned here
   • conal manifold/conic bundle of Khavine’s Characteristics, Conal Geometry and Causality in Locally Covariant Field Theory
   • conically smooth stratified spaces, of the stratified homotopy hypothesis program

   On the other hand, we do have conical space.

   Can anyone make sense of the zoo?

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeOct 31st 2017
   • (edited Oct 31st 2017)
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks for the prodding. I have touched _[[conical space]]_, adding cross-links with _[[causal cone]]_, _[[light cone]]_ and _[[wavefront set]]_. To subsume all this, I also added mentioning of "open conical" spaces, which are modules over the positive real numbers (as opposed to non-negative real numbers). Hence all the areas you list are subsumed here, except possibly "conically smooth stratified spaces". I wuld need to go and check the article, but I suspect this is about "[[conical singularity]]" or something similar. So I think there is not that much of a zoo.

   Thanks for the prodding.

   I have touched conical space, adding cross-links with causal cone, light cone and wavefront set. To subsume all this, I also added mentioning of “open conical” spaces, which are modules over the positive real numbers (as opposed to non-negative real numbers).

   Hence all the areas you list are subsumed here, except possibly “conically smooth stratified spaces”. I wuld need to go and check the article, but I suspect this is about “conical singularity” or something similar.

   So I think there is not that much of a zoo.

3. • CommentRowNumber3.
   • CommentAuthorTim_Porter
   • CommentTimeOct 31st 2017
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexThe topic of conically smooth stratified spaces is mentioned in [[poset-stratified space]]. As is stated there, the definition is quite complicated in the article by Ayala et al.

   The topic of conically smooth stratified spaces is mentioned in poset-stratified space. As is stated there, the definition is quite complicated in the article by Ayala et al.