Abstract
Naively speaking this map is stable since if we push (or perturb) the graph of the map slightly (as shown by dotted line), the topological pictures of the dotted graph and the solid graph are the same. More rigorously, the dotted curve is just the graph of a reparametrization of f.
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© 1976 Springer-Verlag New York, Inc.
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Lu, YC. (1976). Introduction to Singularity Theory with Historical Remarks. In: Singularity Theory and an Introduction to Catastrophe Theory. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9909-7_1
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DOI: https://doi.org/10.1007/978-1-4612-9909-7_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90221-0
Online ISBN: 978-1-4612-9909-7
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