Geodesic
Factor space of functions with a~singularity
Matematičeskie zametki, Tome 18 (1975) no. 2, pp. 279-290.

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Spaces of rapidly decreasing functions on a line, which are infinitely differentiable everywhere except at zero, where there is a fixed singularity for the given space, are considered. It is proved that all such spaces are homeomorphic to each other and homeomorphic to the space of infinitely differentiable functions on a circle. 
@article{MZM_1975_18_2_a13,
     author = {V.-B. K. Rogov},
     title = {Factor space of functions with a~singularity},
     journal = {Matemati\v{c}eskie zametki},
     pages = {279--290},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_2_a13/}
}
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V.-B. K. Rogov. Factor space of functions with a~singularity. Matematičeskie zametki, Tome 18 (1975) no. 2, pp. 279-290. http://geodesic.mathdoc.fr/item/MZM_1975_18_2_a13/