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math.GN2008
Recognizing indecomposable subcontinua of surfaces from their complements
Clinton P. Curry
We prove two theorems which allow one to recognize indecomposable subcontinua of closed surfaces without boundary. If is a subcontinuum of a closed surface , we call the com…
math.GN2008
Characterizing indecomposable plane continua from their complements
Clinton P. Curry, John C. Mayer, E. D. Tymchatyn
We show that a plane continuum X is indecomposable iff X has a sequence (U_n) of not necessarily distinct complementary domains satisfying what we call the double-pass condition: I…