Talk:Lusternik–Schnirelmann category

There seem to be two distinct pages with the identical title "Lyusternik-Schnirelmann category" (in addition to other similar pages, such as "Lusternik-Schnirelmann category", etc). Why is this necessary? Katzmik 07:39, 3 May 2007 (UTC)

Definition
Should it not be defined so that we cover X by k+1 sets and $$cat(S^n)=1$$? , ,... 129.215.67.93 (talk) 14:16, 4 July 2012 (UTC)


 * Agreed. As it is now, one is induced to think that it is inconsistent with the definition in Ganea conjecture. Megaleoo (talk) 03:54, 13 September 2021 (UTC)

Category
I suppressed the term category since it can be confusing, see for instance Baire category of a space. — Preceding unsigned comment added by Xtquique (talk • contribs) 17:29, 3 November 2015 (UTC)

About the lower bound for the number of critical points
In the article is written that "It was, as originally defined for the case of X a manifold, the lower bound for the number of critical points that a real-valued function on X could possess". Shouldn't X be compact? Saung Tadashi (talk) 22:56, 6 January 2017 (UTC)