Abstract
As already mentioned, a key part of our investigation involves the abstract classifications of mappings under \(_{\mathcal{V}}\mathcal{A}\)-equivalence for a special semianalytic stratification \(\mathcal{V}\). Initially the stratification is simple, e.g. modeled by a distinguished smooth curve on a smooth surface, or a boundary curve of a smooth surface with boundary. In such cases, there is a finite classification in low codimension.
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J. Damon, Topological triviality and versality for subgroups of \(\mathcal{A}\) and \(\mathcal{K}\). Memoirs Am. Math. Soc. 75 (389) (1988)
J. Damon, Topological triviality and versality for subgroups of \(\mathcal{A}\) and \(\mathcal{K}\) II: sufficient conditions and applications. Nonlinearity 5, 373–412 (1992)
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Damon, J., Giblin, P., Haslinger, G. (2016). Methods for Topological Classification of Singularities. In: Local Features in Natural Images via Singularity Theory. Lecture Notes in Mathematics, vol 2165. Springer, Cham. https://doi.org/10.1007/978-3-319-41471-3_7
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DOI: https://doi.org/10.1007/978-3-319-41471-3_7
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