Talk:Norm Equivalence Preserves Completeness

The fact that "completeness" is "Banachness" is not obvious, and may cause confusion. It is of course clear when you know what a Banach space is (that is, a normed vector space which is complete), but even so, when you click on the Banach space link, even then all you get is that "every Cauchy sequence converges". Hence we really need somehow to emphasise somewhere why the title does indeed reflect the contents of this. Might even be room to add that detail to the Banach Space page, that is, more than just the fact that an equivalent name for it is "complete normed vector space". --prime mover (talk) 15:05, 10 January 2023 (UTC)