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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 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.
   • CommentAuthorUrs
   • CommentTimeJul 25th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexAdded note on how to say "embedding of smooth manifolds" synthetically in terms of differential cohesion / cohesive HoTT ([here](https://ncatlab.org/nlab/show/embedding+of+differentiable+manifolds#SyntheticDefinitionInDifferentialCohesion)) <a href="https://ncatlab.org/nlab/revision/diff/embedding+of+differentiable+manifolds/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/embedding+of+differentiable+manifolds/17">v17</a>, <a href="https://ncatlab.org/nlab/show/embedding+of+differentiable+manifolds">current</a>

   Added note on how to say “embedding of smooth manifolds” synthetically in terms of differential cohesion / cohesive HoTT (here)

   diff, v17, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJul 8th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[André Haefliger]], _Differentiable Embeddings of $S^n$ in $S^{n+q}$ for $q \gt 2$_, Annals of Mathematics Second Series, Vol. 83, No. 3 (May, 1966), pp. 402-436 ([jstor:1970475](https://www.jstor.org/stable/1970475)) <a href="https://ncatlab.org/nlab/revision/diff/embedding+of+differentiable+manifolds/20">diff</a>, <a href="https://ncatlab.org/nlab/revision/embedding+of+differentiable+manifolds/20">v20</a>, <a href="https://ncatlab.org/nlab/show/embedding+of+differentiable+manifolds">current</a>

   added pointer to

   • André Haefliger, Differentiable Embeddings of $S^n$ in $S^{n+q}$ for $q \gt 2$, Annals of Mathematics Second Series, Vol. 83, No. 3 (May, 1966), pp. 402-436 (jstor:1970475)

   diff, v20, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJul 8th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexalso the followup: * Dennis Roseman, Masamichi Takase, _High-codimensional knots spun about manifolds_ ([arXiv:math/0609055](https://arxiv.org/abs/math/0609055)) <a href="https://ncatlab.org/nlab/revision/diff/embedding+of+differentiable+manifolds/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/embedding+of+differentiable+manifolds/21">v21</a>, <a href="https://ncatlab.org/nlab/show/embedding+of+differentiable+manifolds">current</a>

   also the followup:

   • Dennis Roseman, Masamichi Takase, High-codimensional knots spun about manifolds (arXiv:math/0609055)

   diff, v21, current