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Topological Methods in Nonlinear Analysis

Singular levels and topological invariants of Morse--Bott foliations on non orientable surfaces
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Singular levels and topological invariants of Morse--Bott foliations on non orientable surfaces

Authors

  • José Martínez-Alfaro
  • Ingrid S. Meza-Sarmiento
  • Regilene D. S. Oliveira

Keywords

Morse-Bott functions, topological invariants, foliations, non-orientable surfaces

Abstract

We investigate the classification of closed curves and eight curves of saddle points defined on non-orientable closed surfaces, up to an ambient homeomorphism. The classification obtained here is applied to Morse-Bott foliations on non-orientable closed surfaces in order to define a complete topological invariant.

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Published

2018-01-08

How to Cite

1.
MARTÍNEZ-ALFARO, José, MEZA-SARMIENTO, Ingrid S. and OLIVEIRA, Regilene D. S. Singular levels and topological invariants of Morse--Bott foliations on non orientable surfaces. Topological Methods in Nonlinear Analysis. Online. 8 January 2018. Vol. 51, no. 1, pp. 183 - 213. [Accessed 6 July 2025].
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Vol 51, No 1 (March 2018)

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