Conformal mapping and the geometric theory of holomorphic functions

The declarations the status of Tau Ceti's roadmap names, and the other results named in the modules where only this status names declarations, or in folders below the areas where only it names 2 or more, as Tau Ceti has them at commit ace60277.

The Riemann mapping theorem to Janiszewski's theorem

• The Riemann mapping theorem
• The Riemann map of a Jordan domain extends to a homeomorphism of the closures
• Carathéodory's continuity theorem, as a characterization
• The Schwarz--Christoffel theorem for a bounded polygonal Jordan domain
• The Schwarz--Christoffel theorem for an unbounded polygonal Jordan domain
• Schwarz reflection principle (real axis)
• Rigidity of the pre-Schwarzian derivative
• TauCeti.PrimeEnd
• The prime ends of a Jordan domain are the points of the circle
• A crosscut of a simply connected domain has exactly two sides
• The Jordan separation theorem
• The frontier of a complementary component of a Jordan curve is the whole curve
• The Jordan–Brouwer separation theorem
• The Borsuk criterion
• Borsuk's separation theorem
• The converse Schwarz--Christoffel theorem from the prevertex residues
• The equicontinuity half of Montel's theorem
• Hurwitz's theorem
• Janiszewski's second theorem
• Janiszewski's theorem

The Jordan curve theorem to Wolff's lemma…

• The Jordan curve theorem
• The monodromy theorem
• The monodromy theorem for a free homotopy of paths
• The monodromy theorem for a simply connected domain
• Morera's theorem
• Poincaré defect identity (norm form)
• Rouché's theorem for a disc, classical form
• The Schwarz--Christoffel formula
• Strict Schwarz lemma
• Vitali's convergence theorem
• Vitali's theorem with prescribed pointwise values
• Wolff's lemma (TauCeti.exists_circleImageLength_sq_lt)

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