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nLab > Latest Changes: Eilenberg-MacLane space

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- CommentRowNumber1.
- CommentAuthorUrs
- CommentTimeMay 6th 2015
- PermaLink
Author: Urs
Format: MarkdownItexAdded to _[[Eilenberg-MacLane space]]_ a section _[Cohomology -- Of EM spaces](http://ncatlab.org/nlab/show/Eilenberg-Mac+Lane+space#CohomologyOfEMSpaces)_ with a minimum of pointers and the statement of the rational cohomology ring of $K(\mathbb{Z},n)$.

Added to Eilenberg-MacLane space a section Cohomology – Of EM spaces with a minimum of pointers and the statement of the rational cohomology ring of $K(\mathbb{Z},n)$ .
- CommentRowNumber2.
- CommentAuthorUrs
- CommentTimeJul 1st 2016
- (edited Jul 1st 2016)
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Author: Urs
Format: MarkdownItexI have added mentioning of the model of EM-spaces $K(A,n)$ as the "reduced A-linearization of the $n$-sphere" $A[S^n]_\ast$ (for countable $A$, at least), [here](https://ncatlab.org/nlab/show/Eilenberg-Mac+Lane+space#ReducedALinearizationOfnSphereIsEMSpace). (That's the model of EM-spaces which lends itself to the definition of the EM-spectrum as an orthogonal spectrum)

I have added mentioning of the model of EM-spaces $K(A,n)$ as the “reduced A-linearization of the $n$ -sphere” $A[S^n]_\ast$ (for countable $A$ , at least), here.

(That’s the model of EM-spaces which lends itself to the definition of the EM-spectrum as an orthogonal spectrum)

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