Introducing the concept of orbifolds:

- Ichiro Satake,
*On a generalisation of the notion of manifold*, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 359–363 (doi:10.1073/pnas.42.6.359)

and applying it to the Gauss-Bonnet theorem:

- Ichiro Satake,
*The Gauss–Bonnet theorem for $V$-manifolds*, J. Math. Soc. Japan 9 (1957), 464–492 (euclid:1261153826)

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