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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 finite 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 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 sheaves 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.
   • CommentAuthorvarkor
   • CommentTimeAug 23rd 2022
   • PermaLink
   Author: varkor
   Format: MarkdownItexCreated a small page to describe the different usages of the term [[locally]]. <a href="https://ncatlab.org/nlab/revision/locally/1">v1</a>, <a href="https://ncatlab.org/nlab/show/locally">current</a>

   Created a small page to describe the different usages of the term locally.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorvarkor
   • CommentTimeSep 22nd 2022
   • PermaLink
   Author: varkor
   Format: MarkdownItexMention that hom-wise coincides with slice-wise for Span. <a href="https://ncatlab.org/nlab/revision/diff/locally/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/locally/2">v2</a>, <a href="https://ncatlab.org/nlab/show/locally">current</a>

   Mention that hom-wise coincides with slice-wise for Span.

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeSep 26th 2022
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexClarified that it's hom-wise properties of $Span(E)$ that coincide with slice-wise properties of $E$. <a href="https://ncatlab.org/nlab/revision/diff/locally/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/locally/3">v3</a>, <a href="https://ncatlab.org/nlab/show/locally">current</a>

   Clarified that it’s hom-wise properties of $Span(E)$ that coincide with slice-wise properties of $E$.

   diff, v3, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeApr 25th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItextouched wording and hyperlinking added a paragraph for the case of "locally" in the sense of "stalkwise" <a href="https://ncatlab.org/nlab/revision/diff/locally/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/locally/5">v5</a>, <a href="https://ncatlab.org/nlab/show/locally">current</a>

   touched wording and hyperlinking

   added a paragraph for the case of “locally” in the sense of “stalkwise”

   diff, v5, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeApr 25th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to the top a disambiguation line with "locally" as used in physics. <a href="https://ncatlab.org/nlab/revision/diff/locally/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/locally/5">v5</a>, <a href="https://ncatlab.org/nlab/show/locally">current</a>

   added to the top a disambiguation line with “locally” as used in physics.

   diff, v5, current