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.
- Hokkaido University Preprint Series in Mathematics
Hokkaido University Preprint Series in Mathematics 755 1-19, 2005-11-16
Department of Mathematics, Hokkaido University