A Bound for the Fixed-Point Index of an Area-Preserving Map with Applications to Mechanics.
A correction to a paper of H. King.
A generalization of Thom’s transversality theorem
We prove a generalization of Thom’s transversality theorem. It gives conditions under which the jet map is generically (for ) transverse to a submanifold . We apply this to study transversality properties of a restriction of a fixed map to the preimage of a submanifold in terms of transversality properties of the original map . Our main result is that for a reasonable class of submanifolds and a generic map the restriction is also generic. We also present an example of where the...
A note on octahedral spherical foldings.
A Note on Right-Equivalence of Map-Germs.
A Topological Invariant for Stable Map Germs.
Addendum to: A Bound for the Fixed-Point Index of an Area-Preserving Map with Applications to Mechanics.
Algebras Q (f) Determine the Topological Types of Generic Map-Germs.
An algebraic construction of the generic singularities of Boardman-Thom
An Example of Moduli for Singular Symplec-tic Forms
An o-minimal structure which does not admit cellular decomposition
We present an example of an o-minimal structure which does not admit cellular decomposition. To this end, we construct a function whose germ at the origin admits a representative for each integer , but no representative. A number theoretic condition on the coefficients of the Taylor series of then insures the quasianalyticity of some differential algebras induced by . The o-minimality of the structure generated by is deduced from this quasianalyticity property.
Branched Immersions of Surfaces and Reduction of Topological Type, I.
Branched Immersions of Surfaces and Reduction of Topological Type. II.
Calcul Jacobien
Calculation of the avoiding ideal for
We calculate the mapping and obtain a generating system of its kernel. As a corollary, bounds on the codimension of fold maps from real projective spaces to Euclidean space are calculated and the rank of a singular bordism group is determined.
Caustics and wave front propagations: applications to differential geometry
This is mainly a survey on the theory of caustics and wave front propagations with applications to differential geometry of hypersurfaces in Euclidean space. We give a brief review of the general theory of caustics and wave front propagations, which are well-known now. We also consider a relationship between caustics and wave front propagations which might be new. Moreover, we apply this theory to differential geometry of hypersurfaces, getting new geometric properties.
Classification des germes à point critique isolé et à nombres de modules 0 ou 1
Classification of singularities with compact abelian symmetry
Cobordism of immersions and singular maps, loop spaces and multiple points
Cobordism of Morse functions on surfaces, the universal complex of singular fibers and their application to map germs.