Talk:Homotopical connectivity

n-connected is an expression used in graph theory too, right? I'm not an expert, I was just looking for its definition for graphs. --Cyhawk 08:16, 5 October 2006 (UTC)[reply]

Yes, and there now seems to be a link to the relevant article before the content of this one. 174.116.253.167 (talk) 04:45, 27 June 2014 (UTC)[reply]

I know it's a silly quibble, but properly one talks of "all the homotopy groups" $\pi _{i}(X,x)$ , the "for all" binding $x\in X$ ; of course, assuming $X$ is connected ("0-connected") these are isomorphic --- and if $X$ is simply connected ("1-connected") the isomorphisms are natural; but neither of these results need hold outside the specific assumptions of this article, so it doesn't quite seem proper to drop them before the definition is written. 174.116.253.167 (talk) 04:45, 27 June 2014 (UTC)[reply]