Skip to main content

Methods for Topological Classification of Singularities

Part of the Lecture Notes in Mathematics book series (LNM,volume 2165)

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.

Keywords

  • Abstract Classification
  • Modulus Parameter
  • Topological Classification
  • Versal Unfolding
  • Finite Codimension

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. J. Damon, Topological triviality and versality for subgroups of \(\mathcal{A}\) and \(\mathcal{K}\). Memoirs Am. Math. Soc. 75 (389) (1988)

    Google Scholar 

  2. J. Damon, Topological triviality and versality for subgroups of \(\mathcal{A}\) and \(\mathcal{K}\) II: sufficient conditions and applications. Nonlinearity 5, 373–412 (1992)

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

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

Download citation