Titlebook: New Developments in Singularity Theory; D. Siersma,C. T. C. Wall,V. Zakalyukin Book 2001 Springer Science+Business Media Dordrecht 2001 Me

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On the preparation theorem for subanalytic functionsater it was used by J.-M. Lion and J.-P. Rolin to study various properties of singular sets such as for instance: integration on subanalytic sets, o-minimality, order of contact between solutions of differential equations, see [.], [.].

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Computing Hodge-theoretic invariants of singularitiesace of rational differential . + 1-forms on ?. with poles only along . modulo exact forms. According to Griffiths [.], this space is filtered by the order of pole of representatives along . and the resulting filtration on ..(., .) is its ..

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Classifying Spaces of Singularities and Thom Polynomialsd as theorems on existence and computation of so called .. In these notes we explain the definition of these polynomials based on the notion of the classifying space of singularities. This approach makes the ‘existence theorem’ trivial and also gives some ideas on computing these polynomials.

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1568-2609 eties, mappings, vector or tensorfields, differential equations, models, etc.) on parameters..The articles collected here can be grouped under three headings. (A)Singularities of real maps; (B) Singular complex variables; and (C)Singularities of homomorphic maps.978-0-7923-6997-4978-94-010-0834-1Series ISSN 1568-2609

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