Search results for "Quartic plane curve"

A continuous circle of pseudo-arcs filling up the annulus

1999

We prove an early announcement by Knaster on a decomposition of the plane. Then we establish an announcement by Anderson saying that the plane annulus admits a continlous decomposition into pseudo-arcs such that the quotient space is a simple closed curve. This provides a new plane curve, "a selectible circle of pseudo-aics", and answers some questions of Lewis.

PLANE CURVE DIAGRAMS AND GEOMETRICAL APPLICATIONS

2007