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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
   • CommentTimeMar 30th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexa bare minimum, for the moment just so as to record this references: * {#CadekVanzura93} [[Martin Čadek]], [[Jiří Vanžura]], _On the classification of oriented vector bundles over 5-complexes_, Czechoslovak Mathematical Journal, Vol. 43 (1993), No. 4, 753–764 ([dml:128427](https://dml.cz/handle/10338.dmlcz/128427)) <a href="https://ncatlab.org/nlab/revision/5-manifolds/1">v1</a>, <a href="https://ncatlab.org/nlab/show/5-manifolds">current</a>

   a bare minimum, for the moment just so as to record this references:

   • {#CadekVanzura93} Martin Čadek, Jiří Vanžura, On the classification of oriented vector bundles over 5-complexes, Czechoslovak Mathematical Journal, Vol. 43 (1993), No. 4, 753–764 (dml:128427)

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMar 30th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexchanged page name to singular <a href="https://ncatlab.org/nlab/revision/5-manifolds/1">v1</a>, <a href="https://ncatlab.org/nlab/show/5-manifolds">current</a>

   changed page name to singular

   v1, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMar 30th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexchanged page name to singular <a href="https://ncatlab.org/nlab/revision/5-manifold/1">v1</a>, <a href="https://ncatlab.org/nlab/show/5-manifold">current</a>

   changed page name to singular

   v1, current

4. • CommentRowNumber4.
   • CommentAuthorSamuel Adrian Antz
   • CommentTimeJun 10th 2024
   • (edited Jun 10th 2024)
   • PermaLink
   Author: Samuel Adrian Antz
   Format: MarkdownItexAdded section for special 5-manifolds (which should be expanded of course) and added [[Wu manifold]]. Edit: Renamed it into "Examples" as is the case on [[4-manifold]] and added [[5-sphere]]. <a href="https://ncatlab.org/nlab/revision/diff/5-manifold/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/5-manifold/3">v3</a>, <a href="https://ncatlab.org/nlab/show/5-manifold">current</a>

   Added section for special 5-manifolds (which should be expanded of course) and added Wu manifold.

   Edit: Renamed it into “Examples” as is the case on 4-manifold and added 5-sphere.

   diff, v3, current