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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 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
   • CommentTimeSep 3rd 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexexpanded _[[chain homotopy]]_: added the usual non-commuting diagram, a discussion of chain homotopy equivalence and slightly expanded the description in terms of left homotopy

   expanded chain homotopy: added the usual non-commuting diagram, a discussion of chain homotopy equivalence and slightly expanded the description in terms of left homotopy

2. • CommentRowNumber2.
   • CommentAuthorTim_Porter
   • CommentTimeSep 3rd 2012
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexWith reference to the italics in mathematics discussion, on my Browser (Firefox on a Mac) the ordinary downarrows are slanting left in that diagram. Is this the case on all browsers?

   With reference to the italics in mathematics discussion, on my Browser (Firefox on a Mac) the ordinary downarrows are slanting left in that diagram. Is this the case on all browsers?

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeSep 3rd 2012
   • (edited Sep 3rd 2012)
   • PermaLink
   Author: Urs
   Format: MarkdownItexIt's the same for me, yes. Many of these commuting diagrams on the $n$Lab don't look well on my browser (latest Firefox on Windows). All the arrows are tilted.

   It’s the same for me, yes. Many of these commuting diagrams on the $n$Lab don’t look well on my browser (latest Firefox on Windows). All the arrows are tilted.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeSep 3rd 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexOh, sorry. I guess Andrew just fixed this. Or something. It looks good now.

   Oh, sorry. I guess Andrew just fixed this. Or something. It looks good now.

5. • CommentRowNumber5.
   • CommentAuthorTim_Porter
   • CommentTimeSep 3rd 2012
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexThat looks much better. It must have been that italics problem that Andrew fixed.

   That looks much better. It must have been that italics problem that Andrew fixed.

6. • CommentRowNumber6.
   • CommentAuthormattecapu
   • CommentTimeSep 12th 2019
   • PermaLink
   Author: mattecapu
   Format: MarkdownItexCorrected the indexing of the tensor product CxI <a href="https://ncatlab.org/nlab/revision/diff/chain+homotopy/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/chain+homotopy/12">v12</a>, <a href="https://ncatlab.org/nlab/show/chain+homotopy">current</a>

   Corrected the indexing of the tensor product CxI

   diff, v12, current