Conway and Croft showed that the plane cannot be covered with dis- joint congruent circular arcs or line segments with this property.
The this mapping theorem states that a nonconstant analytic function and a continuous surjective linear mapping between Banach spaces both have this property. Conway and Croft showed that the plane cannot be covered with dis- joint congruent circular arcs or line segments with this property. A perforation is a surface that has had a disk with this property removed from it. A function is continuous if its   inverse takes sets with this property to other sets with this property. A set is compact if every cover of this type permits a  nite subcover. For ten points, identify this property held by a set A if every element of the set has a neighborhood that is a subset of A, and held by intervals in R that do not contain their endpoints.
The this mapping theorem states that a nonconstant analytic function and a continuous surjective linear mapping between Banach spaces both have this property.
openness