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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 20th 2009
   • PermaLink
   Author: Urs
   Format: Markdowncreated quick entry on [[Eilenberg-Zilber theorem]] (to go with [[simplicial deRham complex]]) but check. I am really in a hurry now and have to leave it in a somewhat stubby state.

   created quick entry on Eilenberg-Zilber theorem

   (to go with simplicial deRham complex)

   but check. I am really in a hurry now and have to leave it in a somewhat stubby state.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 12th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexAdded to [[Eilenberg-Zilber theorem]] the original motivating example: <a href="http://ncatlab.org/nlab/show/Eilenberg-Zilber+theorem#ProdTopSp">homology groups of products of topological spaces</a>.

   Added to Eilenberg-Zilber theorem the original motivating example: homology groups of products of topological spaces.

3. • CommentRowNumber3.
   • CommentAuthorTim_Porter
   • CommentTimeOct 26th 2012
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexI have added references to Andy Tonks crossed complex variant of the Eilenberg-Zilber theorem.

   I have added references to Andy Tonks crossed complex variant of the Eilenberg-Zilber theorem.

4. • CommentRowNumber4.
   • CommentAuthorTim_Porter
   • CommentTimeMar 16th 2013
   • (edited Mar 16th 2013)
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexI have added a summary of the statement of the crossed complex E-Z theorem and a new cross ref to Cegarra-Remedios and the E-Z theorem for simplicial sets.

   I have added a summary of the statement of the crossed complex E-Z theorem and a new cross ref to Cegarra-Remedios and the E-Z theorem for simplicial sets.

5. • CommentRowNumber5.
   • CommentAuthorTim_Porter
   • CommentTimeJul 11th 2020
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexdead link fixed <a href="https://ncatlab.org/nlab/revision/diff/Eilenberg-Zilber+theorem/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eilenberg-Zilber+theorem/14">v14</a>, <a href="https://ncatlab.org/nlab/show/Eilenberg-Zilber+theorem">current</a>

   dead link fixed

   diff, v14, current

6. • CommentRowNumber6.
   • CommentAuthorTim_Porter
   • CommentTimeApr 5th 2021
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexHave added the orginal reference for the Dold-Puppe generaisation of the Eilenberg-Zilber theorem. <a href="https://ncatlab.org/nlab/revision/diff/Eilenberg-Zilber+theorem/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eilenberg-Zilber+theorem/16">v16</a>, <a href="https://ncatlab.org/nlab/show/Eilenberg-Zilber+theorem">current</a>

   Have added the orginal reference for the Dold-Puppe generaisation of the Eilenberg-Zilber theorem.

   diff, v16, current

7. • CommentRowNumber7.
   • CommentAuthorTim_Porter
   • CommentTimeApr 5th 2021
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexAdded that Dold and Puppe say their version was first proved by Cartier. <a href="https://ncatlab.org/nlab/revision/diff/Eilenberg-Zilber+theorem/20">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eilenberg-Zilber+theorem/20">v20</a>, <a href="https://ncatlab.org/nlab/show/Eilenberg-Zilber+theorem">current</a>

   Added that Dold and Puppe say their version was first proved by Cartier.

   diff, v20, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeJul 10th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded the missing pointer to: * [[Samuel Eilenberg]], [[Saunders MacLane]], Section 2 of: *On the Groups $H(\Pi,n)$, II: Methods of Computation*, Annals of Mathematics, Second Series, Vol. 60, No. 1 (Jul., 1954), pp. 49-139 ([jstor:1969702](https://www.jstor.org/stable/1969702), [doi:10.2307/2372629](https://doi.org/10.2307/2372629)) <a href="https://ncatlab.org/nlab/revision/diff/Eilenberg-Zilber+theorem/23">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eilenberg-Zilber+theorem/23">v23</a>, <a href="https://ncatlab.org/nlab/show/Eilenberg-Zilber+theorem">current</a>

   added the missing pointer to:

   • Samuel Eilenberg, Saunders MacLane, Section 2 of: On the Groups $H(\Pi,n)$, II: Methods of Computation, Annals of Mathematics, Second Series, Vol. 60, No. 1 (Jul., 1954), pp. 49-139 (jstor:1969702, doi:10.2307/2372629)

   diff, v23, current

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeJul 13th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Albrecht Dold]], Section VI 12.1 in *Lectures on Algebraic Topology*, Springer 1995 ([doi:10.1007/978-3-642-67821-9](https://www.springer.com/gp/book/9783540586609), [pdf](https://link.springer.com/content/pdf/bfm%3A978-3-642-67821-9%2F1.pdf)) <a href="https://ncatlab.org/nlab/revision/diff/Eilenberg-Zilber+theorem/25">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eilenberg-Zilber+theorem/25">v25</a>, <a href="https://ncatlab.org/nlab/show/Eilenberg-Zilber+theorem">current</a>

   added pointer to:

   • Albrecht Dold, Section VI 12.1 in Lectures on Algebraic Topology, Springer 1995 (doi:10.1007/978-3-642-67821-9, pdf)

   diff, v25, current

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeJul 13th 2021
    • (edited Jul 13th 2021)
    • PermaLink
    Author: Urs
    Format: MarkdownItexI forget the genesis of this entry (and it was probably/apparently me who is responsible for this, 11 years ago), but the terminology is confusing, as most authors (e.g. the textbooks by Dold, by MacLane; also Wikipedia) mean by "the Eilenberg-Zilber theorem" what is listed only under "Applications".

    I forget the genesis of this entry (and it was probably/apparently me who is responsible for this, 11 years ago), but the terminology is confusing, as most authors (e.g. the textbooks by Dold, by MacLane; also Wikipedia) mean by “the Eilenberg-Zilber theorem” what is listed only under “Applications”.