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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMar 16th 2010
   • PermaLink
   Author: Urs
   Format: Markdownedited and expanded slightly at [[singular cohomology]] -- but that entry is far frombeing satisfactory. In particular I moved the big query box to the bottom and added some remarks and pointers.

   edited and expanded slightly at singular cohomology -- but that entry is far frombeing satisfactory.

   In particular I moved the big query box to the bottom and added some remarks and pointers.

2. • CommentRowNumber2.
   • CommentAuthorDmitri Pavlov
   • CommentTimeOct 26th 2019
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexAdded redirects for singular chains. <a href="https://ncatlab.org/nlab/revision/diff/singular+cohomology/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/singular+cohomology/14">v14</a>, <a href="https://ncatlab.org/nlab/show/singular+cohomology">current</a>

   Added redirects for singular chains.

   diff, v14, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeFeb 21st 2021
   • (edited Feb 21st 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have copied the historical references from _[[cohomology]]_ to here: *** Original references on [[chain homology]]/[[cochain cohomology]] and [[singular homology]]/[[singular cohomology]]: * [[Andrei Kolmogoroff]], _Über die Dualität im Aufbau der kombinatorischen Topologie_, Recueil Mathématique 1(43) (1936), 97–102. ([mathnet](http://mi.mathnet.ru/msb5361)) * [[Andrei Kolmogoroff]], _Homologiering des Komplexes und des lokal-bicompakten Raumes_, Recueil Mathématique 1(43) (1936), 701–705. [mathnet](http://mi.mathnet.ru/msb5475). * [[J. W. Alexander]], _On the chains of a complex and their duals_, Proc. Nat. Acad. Sei. USA, 21(1935), 509–511 ([doi:10.1073/pnas.21.8.50](https://doi.org/10.1073/pnas.21.8.50)) * [[J. W. Alexander]], _On the ring of a compact metric space_, Proc. Nat. Acad. Sci. USA, 21(1935), 511–512 ([doi:10.1073/pnas.21.8.511](https://doi.org/10.1073/pnas.21.8.511)) * [[J. W. Alexander]], _On the connectivity ring of an abstract space_, Ann. of Math., 37 (1936), 698–708 ([doi:10.2307/1968484](https://doi.org/10.2307/1968484), [pdf](https://www.maths.ed.ac.uk/~v1ranick/papers/alexcon.pdf)) The term “[[cohomology]]” was introduced in this context in * {#Whitney37} [[Hassler Whitney]], _On matrices of integers and combinatorial topology_. Duke Mathematical Journal 3:1 (1937), 35–45 ([doi:10.1215/S0012-7094-37-00304-1](https://projecteuclid.org/journals/duke-mathematical-journal/volume-3/issue-1/On-matrices-of-integers-and-combinatorial-topology/10.1215/S0012-7094-37-00304-1.short)) <a href="https://ncatlab.org/nlab/revision/diff/singular+cohomology/15">diff</a>, <a href="https://ncatlab.org/nlab/revision/singular+cohomology/15">v15</a>, <a href="https://ncatlab.org/nlab/show/singular+cohomology">current</a>

   I have copied the historical references from cohomology to here:

   ---

   Original references on chain homology/cochain cohomology and singular homology/singular cohomology:

   • Andrei Kolmogoroff, Über die Dualität im Aufbau der kombinatorischen Topologie, Recueil Mathématique 1(43) (1936), 97–102. (mathnet)

   • Andrei Kolmogoroff, Homologiering des Komplexes und des lokal-bicompakten Raumes, Recueil Mathématique 1(43) (1936), 701–705. mathnet.

   • J. W. Alexander, On the chains of a complex and their duals, Proc. Nat. Acad. Sei. USA, 21(1935), 509–511 (doi:10.1073/pnas.21.8.50)

   • J. W. Alexander, On the ring of a compact metric space, Proc. Nat. Acad. Sci. USA, 21(1935), 511–512 (doi:10.1073/pnas.21.8.511)

   • J. W. Alexander, On the connectivity ring of an abstract space, Ann. of Math., 37 (1936), 698–708 (doi:10.2307/1968484, pdf)

   The term “cohomology” was introduced in this context in

   • {#Whitney37} Hassler Whitney, On matrices of integers and combinatorial topology. Duke Mathematical Journal 3:1 (1937), 35–45 (doi:10.1215/S0012-7094-37-00304-1)

   diff, v15, current

4. • CommentRowNumber4.
   • CommentAuthorDmitri Pavlov
   • CommentTimeFeb 21st 2021
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexAdded a reference to the orginal 1944 paper by Eilenberg on singular (co)homology. <a href="https://ncatlab.org/nlab/revision/diff/singular+cohomology/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/singular+cohomology/16">v16</a>, <a href="https://ncatlab.org/nlab/show/singular+cohomology">current</a>

   Added a reference to the orginal 1944 paper by Eilenberg on singular (co)homology.

   diff, v16, current

5. • CommentRowNumber5.
   • CommentAuthorDmitri Pavlov
   • CommentTimeFeb 21st 2021
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexAdded last week's paper by Dan Petersen that compares singular and sheaf cohomology. <a href="https://ncatlab.org/nlab/revision/diff/singular+cohomology/18">diff</a>, <a href="https://ncatlab.org/nlab/revision/singular+cohomology/18">v18</a>, <a href="https://ncatlab.org/nlab/show/singular+cohomology">current</a>

   Added last week’s paper by Dan Petersen that compares singular and sheaf cohomology.

   diff, v18, current