## Topological Methods in Nonlinear Analysis

### Singular levels and topological invariants of Morse-Bott foliations on 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.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 51, Number 1 (2018), 183-213.

Dates
First available in Project Euclid: 18 January 2018

https://projecteuclid.org/euclid.tmna/1516244424

Digital Object Identifier
doi:10.12775/TMNA.2017.051

Mathematical Reviews number (MathSciNet)
MR3784742

Zentralblatt MATH identifier
1352.37129

#### Citation

Martínez-Alfaro, José; Meza-Sarmiento, Ingrid S.; Oliveira, Regilene D.S. Singular levels and topological invariants of Morse-Bott foliations on non-orientable surfaces. Topol. Methods Nonlinear Anal. 51 (2018), no. 1, 183--213. doi:10.12775/TMNA.2017.051. https://projecteuclid.org/euclid.tmna/1516244424

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