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 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.
   • CommentAuthorUrs
   • CommentTimeOct 20th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to the Idea-section ([here](https://ncatlab.org/nlab/show/Pontrjagin-Thom+collapse+map#Idea)) the description of PT-collapse as the function that assigns "asymptotic distance form the submanifold", an illustrating graphics, and a comment that this represents the [[Cohomotopy charge]] of the submanifold <a href="https://ncatlab.org/nlab/revision/diff/Pontrjagin-Thom+collapse+map/26">diff</a>, <a href="https://ncatlab.org/nlab/revision/Pontrjagin-Thom+collapse+map/26">v26</a>, <a href="https://ncatlab.org/nlab/show/Pontrjagin-Thom+collapse+map">current</a>

   added to the Idea-section (here) the description of PT-collapse as the function that assigns “asymptotic distance form the submanifold”, an illustrating graphics, and a comment that this represents the Cohomotopy charge of the submanifold

   diff, v26, current

2. • CommentRowNumber2.
   • CommentAuthorDavid_Corfield
   • CommentTimeJan 28th 2020
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexWhat's the least expensive route to fix the mistake in the second line, i.e., it should be $Y$ rather than $X$? Trouble is that the graphic has $X$ as the manifold. But later the page persists with $X$ as submanifold of $Y$.

   What’s the least expensive route to fix the mistake in the second line, i.e., it should be $Y$ rather than $X$? Trouble is that the graphic has $X$ as the manifold. But later the page persists with $X$ as submanifold of $Y$.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJan 28th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks for alerting me. I'll look into harmonizing the notation.

   Thanks for alerting me. I’ll look into harmonizing the notation.

4. • CommentRowNumber4.
   • CommentAuthorChristoph Dorn
   • CommentTimeSep 24th 2022
   • PermaLink
   Author: Christoph Dorn
   Format: MarkdownItexadded references for stratified version of PT construction <a href="https://ncatlab.org/nlab/revision/diff/Pontrjagin-Thom+collapse+map/31">diff</a>, <a href="https://ncatlab.org/nlab/revision/Pontrjagin-Thom+collapse+map/31">v31</a>, <a href="https://ncatlab.org/nlab/show/Pontrjagin-Thom+collapse+map">current</a>

   added references for stratified version of PT construction

   diff, v31, current