Composite Differentiable Functions

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dc.creatorBierstone, Edward
dc.creatorMilman, Pierre D.
dc.creatorPawlucki, Wieslaw
dc.date1995-06-01
dc.date.accessioned2026-07-07T09:06:33Z
dc.date.available2026-07-07T09:06:33Z
dc.descriptionWe 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 property" 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.
dc.description19 pages, hard copy available on request. amstex v 2
dc.identifierhttps://arxiv.org/abs/alg-geom/9506001
dc.identifierhttp://arxiv.org/abs/alg-geom/9506001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150045
dc.subjectAlgebraic Geometry
dc.subject32B20, 58C27 (Primary) 32K15, 58C25 (Secondary)
dc.titleComposite Differentiable Functions
dc.typetext

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