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Substitute the following for the last two paragraphs in the proof of Theorem 2 of my paper [1]. Assume without loss of generality that the sequence F., F2, F3,... is such that for each positive integer n, there exist two arc-segments Rn and En such that (1) /?„<= Bd R, (2) Fnc Bd E, and (3) each arc-segment meets F1; F2, F3,... only in F2n and has one endpoint in F2n_! and the other endpoint in F2n + 1. Let Pi,p2,p3, ■ ■ ■ he a sequence of points converging to p such that for each positive integer n, the point pn is in F2n n (R — Cl E). The sequence Rlf R2, R3,... converges to a point h>! of M n Bd R and Ex, E2, E3,... converges to a point w2 of M n Bd F. Since M is aposyndetic, for n = 1 and 2, there exist a subcontinuum M„ of M and a circular region Gn (Cl (Gj u G2) n {>>, z} = Cl Gi n Cl G2 = 0) in S such that Gn contains wn and meets only one component of Bd (R — E), the point p is in the interior of Mn relative to M and Cl Gn n MB = 0. Let G denote a circular region in S containing p such that Cl G n Cl (Gi u G2) = 0 and G n M is contained in Mx n M2. Assume without loss of generality that for each positive integer /, Cl Rt<=-Gt, Cl Et<=G2, and /?¡ belongs to G. Let k be a positive integer such that Cl (Uk U Ffc) n Cl (Gi U G2)= 0 and F1; F2,..., F7 all lie in 7fc. Let / be a positive integer such that Uk u Ffc=>Cl (U¡ u F,). Let Px be a circular region in G centered on /?x such that Cl Px does not meet F. u F3 u /?t u F^ Since M is not aposyndetic at/?! with respect to {y, z}, the component of M— (U,u V,) which contains/?! is not open relative to M at/?x. Hence the boundary of Px contains an arc-segment Sx whose endpoints ax and bx lie in different components of M—(Uj U Vj) such that M n St = 0. There exists a simple closed curve Cx which separates a» from ^ in S and contains no point of M—(Uj u F,) such that Cx n 5i is connected. In Cx there exists an arc-segment Tt which crosses Su contains no point of M u Cl (Uj u V,), and has its endpoints in Bd (U¡ U Ky). Let P2 he a circular region in G centered on p2 such that Cl F2 does not meet F3 u F5 u F2 u F2 U Fi. The component of (MuSjU Cl T^)-(U, u F;) which contains /?2 is not open relative to M u St U Cl Fi at /?2. Hence the boundary of F2 contains

Concerning arcwise connectedness and the existence of simple closed curves in plane continua