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MR1695355 (2000d:53066) 53C23 (53C45)
Kawamura, Kazuhiro; Ohtsuka, Fumiko Total excess and Tits metric for piecewise Riemannian $2$-manifolds. Special issue in memory of B. J. Ball. Topology Appl. 94 (1999), no. 1-3, 173--193.
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