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• CommentRowNumber1.
• CommentAuthorTim_Porter
• CommentTimeApr 17th 2013

Looking at the list there at twisted cohomology is the word ‘getsted’???? does anyone remember what the word was meant to be?!

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeApr 17th 2013

I believe Jim Stasheff wrote that. Maybe he meant “guessed”? I don’t know. Maybe he sees this here.

• CommentRowNumber3.
• CommentAuthorDmitri Pavlov
• CommentTimeJul 18th 2022

Added:

Homology with local coefficients was introduced in

An independent account appeared in

• Norman E. Steenrod, Homology with local coefficients, Annals of Mathematics (Second Series) 44:4 (1943).

The paper

• Samuel Gitler, Cohomology operations with local coefficients, American Journal of Mathematics 85:2 (1963), 156–188. doi

shows that twisted Eilenberg–MacLane spaces classify cohomology with local coefficients.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJul 19th 2022
• (edited Jul 19th 2022)

We also have an entry twisted ordinary cohomology. This already listed Steenrod’s and Gitler’s articles. I am copying Reidemeister’s article to there, and am adding the cross-link between the two entries more prominently.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeJul 19th 2022
• (edited Jul 19th 2022)

By the way, for the classification of twisted ordinary cohomology by fibrations of EM-spaces I am usually pointing to these three articles (from twisted ordinary cohomologyReferences), which make it rather transparent:

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