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1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeJan 15th 2015
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexIs a [[generalized Eilenberg-MacLane space]] really, as the page says, a *smash* product of Eilenberg-MacLane spectra and not a wedge/cartesian product? In particular, in their appearance in the motivation of the [[Adams spectral sequence]], it seems that from a finite number of cohomology classes $X\to \Sigma^{n_i}H \mathbb{F}_2$ one naturally obtains a map $X\to \prod_i \Sigma^{n_i}H \mathbb{F}_2$, not $X\to \bigwedge_i \Sigma^{n_i}H \mathbb{F}_2$.

   Is a generalized Eilenberg-MacLane space really, as the page says, a smash product of Eilenberg-MacLane spectra and not a wedge/cartesian product? In particular, in their appearance in the motivation of the Adams spectral sequence, it seems that from a finite number of cohomology classes $X\to \Sigma^{n_i}H \mathbb{F}_2$ one naturally obtains a map $X\to \prod_i \Sigma^{n_i}H \mathbb{F}_2$, not $X\to \bigwedge_i \Sigma^{n_i}H \mathbb{F}_2$.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJan 15th 2015
   • (edited Jan 15th 2015)
   • PermaLink
   Author: Urs
   Format: MarkdownItexTrue, I suppose that's my fault.

   True, I suppose that’s my fault.