Smooth maps to the plane and Pontryagin classes, Part I: Local aspects

Details Smooth maps to the plane and Pontryagin classes, Part I: Local aspects Smooth maps to the plane and Pontryagin classes, Part I: Local aspects

2010-08-30

arxiv.org/abs/1008.5104v3

Mathematics

Algebraic Topology

25 pages

Scientific paper

We classify the most common local forms of smooth maps from a smooth manifold L to the plane. The word "local" can refer to locations in the source L, but also to locations in the target. The first point of view leads us to a classification of certain germs of maps, which we review here although it is very well known. The second point of view leads us to a classification of certain multigerms of maps.

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