Geodesic
The Topology of Spaces of Morse Functions on Surfaces
Matematičeskie zametki, Tome 92 (2012) no. 2, pp. 241-261

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The topology of the space $F=F(M)$ of Morse functions on a compact smooth orientable two-dimensional surface $M$ is studied.
Keywords: Morse function on a surface, framed Morse function, space of Morse functions, smooth compact orientable surface
Mots-clés : homotopy equivalence. 
@article{MZM_2012_92_2_a6,
     author = {E. A. Kudryavtseva},
     title = {The {Topology} of {Spaces} of {Morse} {Functions} on {Surfaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {241--261},
     publisher = {mathdoc},
     volume = {92},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_2_a6/}
}
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E. A. Kudryavtseva. The Topology of Spaces of Morse Functions on Surfaces. Matematičeskie zametki, Tome 92 (2012) no. 2, pp. 241-261. http://geodesic.mathdoc.fr/item/MZM_2012_92_2_a6/