Concepedia

The iteration of cubic polynomials Part I: The global topology of parameter space

Bodil Branner, John H. Hubbard

Acta Mathematica · 1988 · 196 citations · 5 references

Open access

Concepts

Cubic PolynomialsVisual LanguageCartographyParameter SpaceGeometryGlobal TopologyLoop SpaceAlgebraic AnalysisTopological PropertyConformal MappingsReal Algebraic GeometryComputational Topology

Abstract

conformal mappings, in the way pioneered by Sullivan [S]; many of the ideas are inspired by his vision.

References

5

Real and Complex Analysis.

G. A. Garreau, Walter Rudin · Journal of the Royal Statistical Society Series D (The Statistician) · 1987 · 10.9K citations

Measure Theory, Infinite Dimensional Analysis, Engineering +10

Riemann's Mapping Theorem for Variable Metrics

Lars V. Ahlfors, Lipman Bers · Annals of Mathematics · 1960 · 597 citations

Riemannian Geometry, Global Geometry, Riemannian Manifold +1

Complex analytic dynamics on the Riemann sphere

Paul Blanchard · Bulletin of the American Mathematical Society · 1984 · 566 citations · Full text

Complex Analytic Dynamics, Global Analysis, Dichotomie Dynamique +5

A proof of the generalized Schoenflies theorem

Morton B. Brown · Bulletin of the American Mathematical Society · 1960 · 388 citations · Full text

Real Algebraic Geometry, Schubert Calculus, Algebraic Combinatorics +1

On the Subdivision of 3-Space by a Polyhedron

James Alexander · Proceedings of the National Academy of Sciences · 1924 · 173 citations · Full text

Climate Ethics, Engineering, Geometry +22