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Some<i>n</i>-arc theorems

Some<i>n</i>-arc theorems

G. T. Whyburn gave an inductive proof of the n-arc theorem for complete, locally connected, metric spaces.In this note Whyburn's proof is modified to generalize this theorem to the class of regular, T l9 locally connected spaces.This result is then used to obtain an affirmative solution to a conjecture of …