On the Separation of the Plane by a Continuum*

In his paper, On the separation of the plane by irreducible continua,*! W. A. Wilson obtains the following theorem. Let F be the union of two bounded continua Hi and H2 having these properties: Hi and H2 are irreducible about A+B; Hi-H2 = A+B where A and B are continua and 4̂ 5 = 0; Hi and H2 contain subcontinua Ci and C2 respectively such that a = Ci>C2A>*0, 0 = Ci-C2J3^0, d and C2 are irreducible between a and fi and F=Ci + C2. Then F cuts the plane and is the frontier of exactly two components of its complement. In the present paper I will establish two theorems which together yield more information than Wilson's theorem.