6533b828fe1ef96bd128822c
RESEARCH PRODUCT
A continuous circle of pseudo-arcs filling up the annulus
Janusz R. Prajssubject
Pure mathematicsQuartic plane curvePlane curveApplied MathematicsGeneral MathematicsButterfly curve (algebraic)GeometryJordan curve theoremArc (geometry)symbols.namesakesymbolsMathematicsPseudo-arcOsculating circledescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-07-01 | Transactions of the American Mathematical Society |