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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.
   • CommentAuthorUrs
   • CommentTimeJul 10th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Samuel Eilenberg]], [[Joseph A. Zilber]], American Journal of Mathematics Vol. 75, No. 1 (Jan., 1953), pp. 200-204 ([jstor:2372629](https://www.jstor.org/stable/2372629), [doi:10.2307/2372629](https://doi.org/10.2307/2372629)) <a href="https://ncatlab.org/nlab/revision/diff/Eilenberg-Zilber+map/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eilenberg-Zilber+map/21">v21</a>, <a href="https://ncatlab.org/nlab/show/Eilenberg-Zilber+map">current</a>

   added pointer to:

   • Samuel Eilenberg, Joseph A. Zilber, American Journal of Mathematics Vol. 75, No. 1 (Jan., 1953), pp. 200-204 (jstor:2372629, doi:10.2307/2372629)

   diff, v21, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJul 10th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have touched the formatting throughout (more hyperlinks, more bullet lists, more whitespace,...) <a href="https://ncatlab.org/nlab/revision/diff/Eilenberg-Zilber+map/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eilenberg-Zilber+map/22">v22</a>, <a href="https://ncatlab.org/nlab/show/Eilenberg-Zilber+map">current</a>

   I have touched the formatting throughout (more hyperlinks, more bullet lists, more whitespace,…)

   diff, v22, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJul 10th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Kerodon]], *The Eilenberg-Zilber Homomorphism* ([00RS](https://kerodon.net/tag/00RS)) <a href="https://ncatlab.org/nlab/revision/diff/Eilenberg-Zilber+map/24">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eilenberg-Zilber+map/24">v24</a>, <a href="https://ncatlab.org/nlab/show/Eilenberg-Zilber+map">current</a>

   added pointer to:

   • Kerodon, The Eilenberg-Zilber Homomorphism (00RS)

   diff, v24, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeDec 4th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added more detailed attribution ([here](https://ncatlab.org/nlab/show/Eilenberg-Zilber+map#Attribution)), distinguishing more clearly between the Eilenberg-Zilber map as abstractly defined, and the Eilenberg-MacLane *formula* for it (which is what the entry really discusses, for the time being). In the course of this I added pointer also to: * [[Saunders MacLane]], Thm. 8.8 in: *Homology*, Springer (1963) &lbrack;[pdf](https://www.maths.ed.ac.uk/~v1ranick/papers/maclane_homology.pdf), [doi:10.1007/978-3-642-62029-4](https://doi.org/10.1007/978-3-642-62029-4)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Eilenberg-Zilber+map/30">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eilenberg-Zilber+map/30">v30</a>, <a href="https://ncatlab.org/nlab/show/Eilenberg-Zilber+map">current</a>

   I have added more detailed attribution (here), distinguishing more clearly between the Eilenberg-Zilber map as abstractly defined, and the Eilenberg-MacLane formula for it (which is what the entry really discusses, for the time being).

   In the course of this I added pointer also to:

   • Saunders MacLane, Thm. 8.8 in: Homology, Springer (1963) [pdf, doi:10.1007/978-3-642-62029-4]

   diff, v30, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeDec 8th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Stefan Schwede]], [[Brooke Shipley]], §2.3 in: _Equivalences of monoidal model categories_, Algebr. Geom. Topol. **3** (2003) 287-334 &lbrack;[arXiv:math.AT/0209342](http://arxiv.org/abs/math.AT/0209342), [euclid:euclid.agt/1513882376](https://projecteuclid.org/euclid.agt/1513882376)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Eilenberg-Zilber+map/32">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eilenberg-Zilber+map/32">v32</a>, <a href="https://ncatlab.org/nlab/show/Eilenberg-Zilber+map">current</a>

   added pointer to:

   • Stefan Schwede, Brooke Shipley, §2.3 in: Equivalences of monoidal model categories, Algebr. Geom. Topol. 3 (2003) 287-334 [arXiv:math.AT/0209342, euclid:euclid.agt/1513882376]

   diff, v32, current