Geodesic
There are Two Isotopic Morse-Smale Diffeomorphisms Which Cannot be Joined by Simple Arcs.
Inventiones mathematicae, Tome 51 (1979), pp. 1-8

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Mots-clés : Morse-Smale diffeomorphisms, Joining Morse-Smale diffeomorphisms by simple arcs 
@article{IM_1979__51_142618,
     author = {Shigenori Matsumoto},
     title = {There are {Two} {Isotopic} {Morse-Smale} {Diffeomorphisms} {Which} {Cannot} be {Joined} by {Simple} {Arcs.}},
     journal = {Inventiones mathematicae},
     pages = {1--8},
     publisher = {mathdoc},
     volume = {51},
     year = {1979},
     zbl = {0416.58015},
     url = {http://geodesic.mathdoc.fr/item/IM_1979__51_142618/}
}
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Shigenori Matsumoto. There are Two Isotopic Morse-Smale Diffeomorphisms Which Cannot be Joined by Simple Arcs.. Inventiones mathematicae, Tome 51 (1979), pp. 1-8. http://geodesic.mathdoc.fr/item/IM_1979__51_142618/