Geodesic
Pointwise Finite Families of Mappings
Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 767-768

Voir la notice de l'article provenant de la source Cambridge University Press

In [3], Montgomery proved that if h is a pointwise periodic homeomorphism of a connected manifold without boundary onto itself, then h is periodic. Kaul generalized this result in [2] by showing that if X is a connected metrizable manifold without boundary and if (X, T)is a transformation group with T countable such that T is pointwise periodic, then T is periodic. 
Roberts, James W. Pointwise Finite Families of Mappings. Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 767-768. doi: 10.4153/CMB-1975-134-x
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[1] 1. Gottschalk, W.E. and Hedlund, G.A., Topological dynamics, Amer. Math. Soc. Colloq. Publ. Vol. 36, 1955. Google Scholar

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[4] 4. Montgomery, D. and Zippin, L., Topological transformation groups, Interscience Publication, Inc. N.Y. 1955. Google Scholar

[5] 5. Smith, P.A., Transformations of finite period, III, Newman's theorem, Ann. of Math. Vol. 42 (1941), pp. 446-458. Google Scholar

[6] 6. Yang, J.S., On pointwise periodic transformation groups, Notices Amer. Math. Soc. Vol. 18 (1971), p. 830 (71T-G125). Google Scholar

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