Ultrametric and non-locally convex analogues of the general curve lemma of convenient differential calculus

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127163The General Curve Lemma is a tool of Infinite-Dimensional Analysis, which enables refined studies of differentiability properties of mappings between real locally convex spaces. In this article, we generalize the General Curve Lemma in two ways: First, we remove the condition of local convexity in the real case. Second, we adapt the lemma to the case of curves in topological vector spaces over ultrametric fields.23 pages, LaTeXFunctional Analysis26E15; 26E20; 26E30; 46A16; 46S10; 45T20Ultrametric and non-locally convex analogues of the general curve lemma of convenient differential calculustext