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Remark on dynamical Morse inequality. (English) Zbl 1279.57022

Summary: We solve a transversality problem relating to Bertelson-Gromov’s “dynamical Morse inequality”.

MSC:

57R70 Critical points and critical submanifolds in differential topology
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References:

[1] M. Bertelson, Topological invariants for discrete group actions, Lett. Math. Phys. 69 (2004), 147-156. · Zbl 1072.37008 · doi:10.1007/s11005-004-9188-x
[2] M. Bertelson and M. Gromov, Dynamical Morse entropy, in Modern dynamical systems and applications , 27-44, Cambridge Univ. Press, Cambridge, 2004. · Zbl 1155.37006
[3] V. Guillemin and A. Pollack, Differential topology , Prentice Hall, Englewood Cliffs, NJ, 1974. · Zbl 0361.57001
[4] M. W. Hirsch, Differential topology , Graduate Texts in Mathematics, 33, Springer-Verlag, New York, 1976. · Zbl 0356.57001
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