This article is cited in 1 paper

Factor space of functions with a singularity

V.-B. K. Rogov

Moscow Institute of Railroad Transport Engineers

Abstract: 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.

UDC: 513.88

Received: 13.12.1973

 English version: Mathematical Notes, 1975, 18:2, 753–7599

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