no. 2
Continuity properties of the injectivity radius function
Compositio Mathematica, Tome 29 (1974) no. 2, pp. 151-178 
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     author = {Ehrlich, Paul E.},
     title = {Continuity properties of the injectivity radius function},
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     pages = {151--178},
     year = {1974},
     publisher = {Noordhoff International Publishing},
     volume = {29},
     number = {2},
     mrnumber = {417977},
     zbl = {0289.53034},
     language = {en},
     url = {https://www.numdam.org/item/CM_1974__29_2_151_0/}
}
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Ehrlich, Paul E. Continuity properties of the injectivity radius function. Compositio Mathematica, Tome 29 (1974) no. 2, pp. 151-178. https://www.numdam.org/item/CM_1974__29_2_151_0/

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