Geodesic
Conditions under which every arc of a continuous curve is a subset of a maximal arc of the curve.
Mathematische Annalen, Tome 101 (1929), pp. 194-209.

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@article{MAN_1929__101_159326,
     author = {W.L. Ayres},
     title = {Conditions under which every arc of a continuous curve is a subset of a maximal arc of the curve.},
     journal = {Mathematische Annalen},
     pages = {194--209},
     publisher = {mathdoc},
     volume = {101},
     year = {1929},
     zbl = {55.0323.04},
     url = {http://geodesic.mathdoc.fr/item/MAN_1929__101_159326/}
}
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W.L. Ayres. Conditions under which every arc of a continuous curve is a subset of a maximal arc of the curve.. Mathematische Annalen, Tome 101 (1929), pp. 194-209. http://geodesic.mathdoc.fr/item/MAN_1929__101_159326/