Displaying similar documents to “The side-pairing elements of Maskit's fundamental domain for the modular group in genus two.”

On the generation of a simple surface by means of a set of equicontinuous curves

Robert Moore (1923)

Fundamenta Mathematicae

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The purpose of this article is to prove: Theorem: Suppose that, in a given three dimensional space S, ABCD is a rectangle and G is a self-compact set of simple continuous arcs such that: 1. through each point of ABCD there is just one arc of G, 2. BC and AD are arcs of G, 3. no two arcs of G have a point in common, 4. each arc of G has one endpoint on the interval AB and one endpoint on the interval CD but contains no other point in common with either of these intervals, 5. the set of...