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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 6th 2016
   • (edited May 6th 2016)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have type the definition of multiplicative unreduced generalized cohomology theories $A$ into _[[multiplicative cohomology theory]]_. Then I added the statements and their arguments ([here](https://ncatlab.org/nlab/show/multiplicative+cohomology+theory#RingAndModuleStructureOnCohomologyGroups)) for the compatible $A^\bullet(\ast)$-module structure on $A$-cohomology groups and the $A^\bullet(\ast)$-linearity of the differentials in any Atiyah-Hirzebruch spectral sequence with coefficients in $A$.

   I have type the definition of multiplicative unreduced generalized cohomology theories into multiplicative cohomology theory. Then I added the statements and their arguments (here) for the compatible -module structure on -cohomology groups and the -linearity of the differentials in any Atiyah-Hirzebruch spectral sequence with coefficients in .

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJan 23rd 2021
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   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Pierre Conner]], [[Edwin Floyd]], p. 23 (30 of 120) in: _[[The Relation of Cobordism to K-Theories]]_, Lecture Notes in Mathematics __28__ Springer 1966 ([doi:10.1007/BFb0071091](https://link.springer.com/book/10.1007/BFb0071091), [MR216511](http://www.ams.org/mathscinet-getitem?mr=216511)) <a href="https://ncatlab.org/nlab/revision/diff/multiplicative+cohomology+theory/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/multiplicative+cohomology+theory/22">v22</a>, <a href="https://ncatlab.org/nlab/show/multiplicative+cohomology+theory">current</a>

   added pointer to:

   • Pierre Conner, Edwin Floyd, p. 23 (30 of 120) in: The Relation of Cobordism to K-Theories, Lecture Notes in Mathematics 28 Springer 1966 (doi:10.1007/BFb0071091, MR216511)

   diff, v22, current