Abstract
We construct a one-to-one map of the topological direct sum R(∞) of countably many copies of the real line onto R(∞)∖{0} which is infinitely differentiable along with its inverse, in the sense of Michael-Bastiani.
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Translated from Matematicheskie Zametki, Vol. 20, No. 5, pp. 741–746, November, 1976.
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Lobuzov, A.A. R(∞) is diffeomorphic to R(∞)∖{0}. Mathematical Notes of the Academy of Sciences of the USSR 20, 973–976 (1976). https://doi.org/10.1007/BF01146922
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DOI: https://doi.org/10.1007/BF01146922