A note on \(G\)-extensible regularity condition (Q1336499)

In [Compos. Math. 32, 301-333 (1976; Zbl 0333.58004)] \textit{A. du Plessis} proves that if \(\Omega (X,Y) \subset J^ r (X,Y)\) is an extensible regularity condition on smooth maps \(f : X \to Y\), and there exists a section \(\sigma : X \to \Omega (X,Y)\) covering \(f\), then \(f\) may be \(C^ 0\)-approximated by \(\Omega\)-regular maps whose \(r\)-jets are homotopic to \(\sigma\) as sections in \(\Omega (X,Y)\). In the paper under review the author formulates and proves an equivariant generalization of this approximation theorem.