On the orientability of singularity submanifolds

• RIMÁNYI Richárd

  Department of Analysis, Muzeum krt.

Abstract

As an application of the generalized Pontrjagin-Thom construction (see [{5}]) here we prove some results on the orientability of singularity submanifolds. Our approach is based on the computation of symmetries of singularities and is different from the one based on the fundamental work of Boardman ([{3}]) which involves the high intrinsic derivatives. As an example we apply our method to all the Σ^{1_r} and Σ^{2, 0} singularities.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 52 (1), 91-98, 2000

  The Mathematical Society of Japan

Keywords

• Singularities
• singularity submanifold
• generalized Pontryagin-Thom construction

Details

• CRID: 1390282680092692224
• NII Article ID: 10004480026
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05210091
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1727199
• NDL BIB ID: 4974640
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4974640
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed