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A proof of Cairns' conjecture about geodesic triangulations of the 2-sphere

Year: 2026
Type: preprint
Abstract: This paper contains a detailed proof of a 1941 conjecture of S.S. Cairns concerning the space of geodesic triangulations of the 2-sphere. The methods are neither combinatorical nor Riemannian but belong to differential topology.
Author: Cerf, Jean
Language: English
Open Access status: green
OpenAlex ID: W7212316090
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