This article is cited in 1 paper

$R^{(\infty)}$ is diffeomorphic to $R^{(\infty)}\setminus\{0\}$

A. A. Lobuzov

M. V. Lomonosov Moscow State University

Abstract: We construct a one-to-one map of the topological direct sum $R^{(\infty)}$ of countably many copies of the real line onto $R^{(\infty)}\setminus\{0\}$ which is infinitely differentiable along with its inverse, in the sense of Michael–Bastiani.

UDC: 513.8

Received: 26.05.1975

 English version: Mathematical Notes, 1976, 20:5, 973–976

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