Talk:Brown's representability theorem

Author of the theorem?

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

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

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)[reply]

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)[reply]

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)[reply]

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)[reply]

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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.