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- W2078761275 abstract "We introduce a new point of view towards Glaeser's theorem on composite $C^infty$ functions [Ann. of Math. 1963], with respect to which we can formulate a ``$C^k$ composite function that is satisfied by all semiproper real analytic mappings. As a consequence, we see that a closed subanalytic set $X$ satisfies the $C^infty$ composite function property if and only if the ring $C^infty (X)$ of $C^infty$ functions on $X$ is the intersection of all finite differentiability classes." @default.
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- W2078761275 date "1996-06-01" @default.
- W2078761275 modified "2023-10-11" @default.
- W2078761275 title "Composite differentiable functions" @default.
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- W2078761275 doi "https://doi.org/10.1215/s0012-7094-96-08318-0" @default.
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