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Singularities of smooth mappings with patterns*

Published online by Cambridge University Press:  26 March 2007

Kentaro Saji  and
Masatomo Takahashi
Kentaro Saji
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan ([email protected]; [email protected])
Masatomo Takahashi
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan ([email protected]; [email protected])
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Abstract

We study smooth mappings with patterns which given by certain divergence diagrams of smooth mappings. The divergent diagrams of smooth mappings can be regard as smooth mappings from manifolds with singular foliations. Our concerns are generic differential topology and generic smooth mappings with patterns. We give a generic semi-local classification of surfaces with singularities and patterns as an application of singularity theory.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 137 , Issue 2 , 2007 , pp. 415 - 430
Copyright
Copyright © Royal Society of Edinburgh 2007

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Footnotes

*

Dedicated to Professor Takao Matumoto on the occasion of his sixtieth birthday.

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