Editing Uniformization theorem (section)

==History==

Felix {{harvs|txt|authorlink=Felix Klein|last=Klein|year=1883}} and Henri {{harvs|txt|authorlink=Henri Poincaré|last=Poincaré|year1=1882}} conjectured the uniformization theorem for (the Riemann surfaces of) algebraic curves. {{harvs|txt|first=Henri |last=Poincaré|year1=1883}} extended this to arbitrary multivalued analytic functions and gave informal arguments in its favor.  The first rigorous proofs of the general uniformization theorem were given by  {{Harvs|txt|last=Poincaré|authorlink=Henri Poincaré|year=1907}} and {{harvs|txt|authorlink=Paul Koebe|first=Paul |last=Koebe|year1=1907a|year2=1907b|year3=1907c}}. Paul Koebe later gave several more proofs and generalizations. The history is described in {{harvtxt|Gray|1994}}; a complete account of uniformization up to the 1907 papers of Koebe and Poincaré is given with detailed proofs in {{harvtxt|de Saint-Gervais|2016}} (the [[Nicolas Bourbaki|Bourbaki]]-type pseudonym of the group of fifteen mathematicians who jointly produced this publication).