Approximating Continuous Function by Smooth Functions on Orbit Spaces

In this paper, we study the approximation of continuous functions on a subclass of singular space—the subcartesian space. As is well known, the orbit space of the proper action of a Lie group on a smooth manifold is a subcartesian space. We prove that continuous functions on the orbit space can be a...

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Bibliographic Details
Main Authors: Luyang Zhou, Qianqian Xia
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/3/386