Geodesic
The existence of polar non-degenerate functions on a topological manifold
Commentationes Mathematicae Universitatis Carolinae, Tome 13 (1972) no. 1, pp. 149-161.

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Classification : 57A99, 57D70, 57N99, 57R70, 58E05 
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     title = {The existence of polar non-degenerate functions on a topological manifold},
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Faust, D. D. The existence of polar non-degenerate functions on a topological manifold. Commentationes Mathematicae Universitatis Carolinae, Tome 13 (1972) no. 1, pp. 149-161. http://geodesic.mathdoc.fr/item/CMUC_1972__13_1_a11/