A problem of least area
Edward Silverman · Pacific Journal of Mathematics · 1964
LEMMA 1.3.Let R x and R 2 be Jordan regions with R x c Int R 2 .Suppose that x is light on A -R 2 -Int R ± into M. Let ^ be the set of all continuous f on [0,1] into A such that /(0) 6 dR x and /(I) G dR 2 .Let £ίf be the set of all continuous h on [0,1] into A such that h(0) -h(l) and h(a) Φ h(b) unless (a, b) = (0,1) or (1, 0),