On decomposition of projections of finite order. (English) Zbl 0826.54012

The main result of the paper states that if \(K\) is a compact subset of a product \(T \times \mathbb{R}^n\), where \(T\) is metric and if the projection \(\pi : K \to T\) is of order \(\leq k\) (with \(k \geq 3)\) then \(\pi\) can be written as the composition of \(3n\) continuous maps, each of order at most \(k - 1\).
Reviewer: K.P.Hart (Delft)


54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54E40 Special maps on metric spaces
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