Surface Basic Sets with Wildly Embedded Supporting Surfaces
Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 356-372

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The situation where a “nice” diffeomorphism $f$ of a 3-manifold has a wildly embedded invariant surface $M$ for which the restriction $g=f|_M\colon M\to M$ is “nice” is considered.
Keywords: Anosov diffeomorphism, 3-manifold, Morse–Smale diffeomorphism, nonwandering set, surface basic set, wildly embedded supporting surface, conjugate diffeomorphisms.
@article{MZM_2009_85_3_a4,
     author = {E. V. Zhuzhoma and V. S. Medvedev},
     title = {Surface {Basic} {Sets} with {Wildly} {Embedded} {Supporting} {Surfaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {356--372},
     publisher = {mathdoc},
     volume = {85},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a4/}
}
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E. V. Zhuzhoma; V. S. Medvedev. Surface Basic Sets with Wildly Embedded Supporting Surfaces. Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 356-372. http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a4/