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Families of functions dominated by distributions of $C$ -classes of mappings

Goo Ishikawa (1983)

Annales de l'institut Fourier

A subsheaf of the sheaf $ℰ_{Ω}$ of germs $C^{\infty}$ functions over an open subset $Ω$ of $R^{n}$ is called a sheaf of sub $C^{\infty}$ function. Comparing with the investigations of sheaves of ideals of $ℰ_{Ω}$ , we study the finite presentability of certain sheaves of sub $C^{\infty}$ -rings. Especially we treat the sheaf defined by the distribution of Mather’s $𝒞$ -classes of a $C^{\infty}$ mapping.

Families of spheres

J. W. Bruce, P. J. Giblin (1988)

Banach Center Publications

Filtration par le poids et monodromie entière

Philippe Du Bois, Françoise Michel (1992)

Bulletin de la Société Mathématique de France

Finite determinacy and topological triviality. II : sufficient conditions and topological stability

James Damon (1982)

Compositio Mathematica

Finiteness theorems on Blow-Nash triviality for real algebraic singularities

Satoshi Koike (2004)

Banach Center Publications

Finite-type invariants of Legendrian knots in the 3-space: Maslov index as an order 1 invariant

Victor Goryunov, Jonathan Hill (1999)

Banach Center Publications

We consider a contractible closure of the space of Legendrian knots in the standard contact 3-space. We show that in this context the space of finite-type complex-valued invariants of Legendrian knots is isomorphic to that of framed knots in $R^{3}$ with an extra order 1 generator (Maslov index) added.

Flache T1-Stabilität in der Stratifizierung Verseller Entfaltungen.

Martin Lindner (1978)

Manuscripta mathematica

Fold maps from the sphere to the plane.

Hacon, D., Mendes de Jesus, C., Romero Fuster, M.C. (2006)

Experimental Mathematics

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