Talk:Brown's representability theorem

Author of the theorem?

What, not even a red link to Kenneth Stephen Brown (Mathematics, Cornell University)? See

1. Mathematical geneology of Ken Brown
2. C.V. of Ken Brown
3. ArXiv eprints of Ken Brown
4. Home page of Ken Brown

Or have I named the wrong Brown? ---CH 02:55, 26 August 2006 (UTC)

Thought this was proved around 1965, so if KS Brown has a 1971 doctorate it was a late submission? Charles Matthews 09:38, 26 August 2006 (UTC)

I suspect this is a relevant reference: EH Brown: Cohomology theories. Annals of Math. 75 (1962), 467–484. Charles Matthews 09:40, 26 August 2006 (UTC)

Kenneth Stephen Brown is the wrong Brown. The right Brown is Edgar H. Brown, and the right reference is to Edgar H. Brown, Comology Theories, Annals of Mathematics 75, 467-484 67.180.29.122 (talk) 02:25, 23 November 2008 (UTC)

There should be a reference to Brown's original paper on the wiki page! 169.229.250.206 (talk) 20:49, 20 November 2008 (UTC)

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More specificity, please?

The introductory section includes this sentence:

"More specifically, we are given

F: Hotc^op → Set,

"and there are certain obviously necessary conditions for F to be of type Hom(—, C), with C a pointed connected CW-complex that can be deduced from category theory alone."

This probably makes complete sense ... to people who already know all about it.

But for the rest of us: Could someone please be more specific about what Hom(—, C) means?

Is this supposed to be the mapping taking a CW-complex X to the set of homotopy classes [X, C] ?

Or at least is this the principal application of Brown's theorem?

I find it too difficult to understand this article without a little more grounding in specifics.