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
   • CommentTimeJul 14th 2016
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexI created the article [[coarse structure]].

   I created the article coarse structure.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJul 14th 2016
   • (edited Jul 14th 2016)
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks for all these additions! May I suggest some edit hints? At _[[coarse structure]]_ I have made more of the keywords into hyperlinks (and I have added a parenthetical explanation of $P(X\times X)$). The idea is to make the page as useful as possible by providing the reader with pointers to all relevant background information. Then I added under "Related entries" a pointer to _[[bornological closed structure]]_, thus cross-referencing the two entries. The idea here is to give the reader the chance to find further information without them already knowing what they might be looking for. Finally, I gave _[[bornological coarse space]]_ and _[[motovic coarse space]]_ redirects to the plurals of their titles. On the one hand it is good to add plural redirects to every entry by default anyway, on the other hand some of your other entries were indeed already trying to point to these plurals. Now the links work. There are more edits along these lines that could be done to your other additons. I'll stop here, I suppose you see the point. It's a tad more work to add all this cross-linking and redirecting, but it helps ensure that the material one adds will actually find users.

   Thanks for all these additions!

   May I suggest some edit hints?

   At coarse structure I have made more of the keywords into hyperlinks (and I have added a parenthetical explanation of $P(X\times X)$). The idea is to make the page as useful as possible by providing the reader with pointers to all relevant background information.

   Then I added under “Related entries” a pointer to bornological closed structure, thus cross-referencing the two entries. The idea here is to give the reader the chance to find further information without them already knowing what they might be looking for.

   Finally, I gave bornological coarse space and motovic coarse space redirects to the plurals of their titles. On the one hand it is good to add plural redirects to every entry by default anyway, on the other hand some of your other entries were indeed already trying to point to these plurals. Now the links work.

   There are more edits along these lines that could be done to your other additons. I’ll stop here, I suppose you see the point. It’s a tad more work to add all this cross-linking and redirecting, but it helps ensure that the material one adds will actually find users.

3. • CommentRowNumber3.
   • CommentAuthorDmitri Pavlov
   • CommentTimeJul 14th 2016
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexThanks!

   Thanks!

4. • CommentRowNumber4.
   • CommentAuthorDavid_Corfield
   • CommentTimeJul 15th 2016
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexI wonder how this coarse bornology account fits with the nPOV of [[space]]. I was left from our [conversation](https://nforum.ncatlab.org/discussion/1247/bornological-set/) on bornological sets wanting to know more, such as whether there was a form of cohesion around, and expecting great things from $(Comm(Ind(Ban)))^{op}$. Then there's some form of localization at interval, as in $A_1$-homotopy. I [remember](http://mathoverflow.net/a/15757/447) Urs and Ben-Zvi on the latter fitting in with the DAG outlook.

   I wonder how this coarse bornology account fits with the nPOV of space. I was left from our conversation on bornological sets wanting to know more, such as whether there was a form of cohesion around, and expecting great things from $(Comm(Ind(Ban)))^{op}$.

   Then there’s some form of localization at interval, as in $A_1$-homotopy. I remember Urs and Ben-Zvi on the latter fitting in with the DAG outlook.

5. • CommentRowNumber5.
   • CommentAuthorDavidRoberts
   • CommentTimeJul 17th 2016
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexA coarse structure looks suspiciously similar to that on a [[uniform space]], though somewhat weaker.

   A coarse structure looks suspiciously similar to that on a uniform space, though somewhat weaker.

6. • CommentRowNumber6.
   • CommentAuthorTodd_Trimble
   • CommentTimeJul 18th 2016
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexI assume it was *relational* compositions (and relational inverses) that was meant, so I stuck that in.

   I assume it was relational compositions (and relational inverses) that was meant, so I stuck that in.

7. • CommentRowNumber7.
   • CommentAuthorDmitri Pavlov
   • CommentTimeJul 18th 2016
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexYes, it's relational composition (are there any others?). Entourages in a uniform structure are closed under taking supersets, which is pretty much the opposite of what the definition of a coarse structure wants. However, it is possible to define [[coarse uniform spaces]], see Definition 5.3 in Bunke and Engel, which have compatible coarse and uniform structures.

   Yes, it’s relational composition (are there any others?).

   Entourages in a uniform structure are closed under taking supersets, which is pretty much the opposite of what the definition of a coarse structure wants.

   However, it is possible to define coarse uniform spaces, see Definition 5.3 in Bunke and Engel, which have compatible coarse and uniform structures.