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1. Accessibility in the Plane. The point set K is said to be everywhere accessible from a point set R provided that if A and B are any two points belonging to K and R respectively, then there exists a simple continuous arc AB from A to B such that AB—A is a subset of R. In my paper Concerning plane closed point sets which are accessible from certain subsets of their complements^ among other results, I proved the following theorem.

Concerning accessibility in the plane and regular accessibility in 𝑛 dimensions