On the classification and bifurcation of multigerms of maps from surfaces to 3-space
The $\mathcal A$-classification of multigerm singularities is discussed, based on the theory of complete transversals. An $\mathcal A$-classification of $r$-multigerms from the plane to 3-space of $\mathcal A-\text{codimension} \leq 6-r$ is carried out and the bifurcation geometry of these singularities analysed. This work has applications to the study of two-dimensional spatial motions, giving local models for the singularities which appear on general trajectories of rigid body motions from the plane to 3-space. In addition, our classification is extensive enough to give the full list of simple multigerm singularities from the plane to 3-space.
1995 ◽
Vol 29
(3)
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pp. 149-160
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2012 ◽
Vol 32
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pp. 112-120
2020 ◽
Vol 14
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pp. 1232-1239
1987 ◽
Vol 15
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pp. 923-944
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2012 ◽
Vol 12
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pp. 1250049
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