Fatou set

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:category complex analysis
dynamical systems
gptkbp:complement gptkb:Julia_set
gptkbp:defines the set of points in the complex plane where the iterates of a holomorphic function form a normal family
gptkbp:field complex dynamics
gptkbp:firstDescribed 1910s
https://www.w3.org/2000/01/rdf-schema#label Fatou set
gptkbp:namedAfter gptkb:Pierre_Fatou
gptkbp:property open set
complement is closed
gptkbp:relatedTo gptkb:Julia_set
gptkb:Mandelbrot_set
gptkbp:studiedIn iteration of rational functions
iteration of entire functions
gptkbp:usedIn study of dynamical systems
gptkbp:bfsParent gptkb:Herman_rings
gptkb:Julia_set
gptkbp:bfsLayer 6