A proof of the Hilbert-Smith conjecture for actions by Lipschitz maps

Mathematische Annalen

Volumn 308, Issue 2, 1997, Pages 361-364

  Repovš, Dušan ^a   Ščepin, Evgenij V ^b  

^a INSTITUTE OF MATHEMATICS   (Slovenia)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040563170     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002080050080     Document Type: Article

References (33)

1. L. Antoine: Sur l'homéomorphie de deux figures et de leur voisinages. J. Math. Pures Appl. 86 (1921), 221-325
2. M. Bestvina, R.D. Edwards: Around the Hilbert-Smith conjecture. Proc. 6th Workshop in Geom. Topol., Provo, UT. 1989
3. S. Bochner, D. Montgomery: Locally compact groups of differentiable transformations. Ann. Math. (2) 47 (1946), 639-653
4. G.E. Bredon, F. Raymond, R.F. Williams: p-Adic transformation groups. Trans. Amer. Math. Soc. 99 (1961), 488-498
5. R.J. Daverman: Embedding phenomena based upon decomposition theory: wild Cantor sets satisfying strong homogeneity properties. Proc. Amer. Math. Soc. 75 (1979), 177-182
6. R.J. Daverman, L.D. Loveland: Wildness and flatness of codimension one spheres having double tangent balls. Rocky Mount. J. 11 (1981), 113-121
7. A.N. Dranišnikov: Homological dimension theory. Uspehi Mat. Nauk 43:4 (1988) 11-55 (in Russian); English transl. in: Russian Math. Surveys 43:4 (1988), 11-63
8. A.N. Dranišnikov: Homological dimension theory. Uspehi Mat. Nauk 43:4 (1988) 11-55 (in Russian); English transl. in: Russian Math. Surveys 43:4 (1988), 11-63
9. R.D. Edwards: Some remarks on the Hilbert-Smith conjecture. Proc. 4th West Workshop Geom. Topol., Corvalis, OR. 1987
10. K. Falconer: Fractal Geometry. John Wiley, New York, 1990
11. P.J. Giblin, D.B. O'Shea: The bitangent sphere problem. Amer. Math. Monthly 97 (1990), 5-23
12. A. Gleason: Groups without small subgroups. Ann. Math. (2) 56 (1932), 193-212
13. 3. Amer. Math. Monthly 75 (1968), 767
14. n. Pacif. J. Math. 11 (1961), 221-223
15. D. Hilbert: Mathematische Probleme. Nachr. Akad. Wiss. Göttingen 1900, pp. 253-297; Bull. Amer. Math. Soc. 8 (1901-1902), 437-439
16. D. Hilbert: Mathematische Probleme. Nachr. Akad. Wiss. Göttingen 1900, pp. 253-297; Bull. Amer. Math. Soc. 8 (1901-1902), 437-439
17. W. Hurewicz, H. Wallman: Dimension Theory. Princeton University Press, Princeton, 1941
18. 3 is tame if it has round tangent balls. Trans. Amer. Math. Soc. 152 (1970), 389-397
19. n with double tangent balls. Topol. Appl. 13 (1982), 311-320
20. J. Malešič: Toroidal decompositions of the 3-dimensional sphere. Ph.D. Thesis, University of Ljubljana, 1995
21. 3 and Lipschitz ambient homogeneity. Preprint, University of Ljubljana, Ljubljana, 1995
22. D. Montgomery, L. Zippin: Small groups of finite-dimensional groups. Ann. Math. (2) 56 (1952), 213-241
23. D. Montgomery, L. Zippin: Topological Transformation Groups. Interscience Tracts in Pure and Appl. Math. 1. Interscience Publ., New York, 1955
24. J. Nash: The imbedding problem for Riemannian manifold. Ann. Math. (2) 63 (1956), 20-63
25. J. von Neumann: Die Einführung Analytischer Parameter in Topologischen Gruppen. Ann. Math. (2) (1933), 170-190
26. M.H.A. Newmann: A theorem on periodic transformations of spaces. Quart. J. Math. 2 (1931), 1-8
27. n. Proc. Amer. Math. Soc. 124 (1996), 1219-1226
28. A. Shilepsky: Homogeneity by isotopy for simple closed curves. Duke Math. J. 40 (1973), 463-472
29. 3. Trans. Amer. Math. Soc. 195 (1974), 265-276
30. P.A. Smith: Periodic and nearly periodic transformations. Lectures in Topology, R. Wilder and W. Ayres (Eds.) University of Michigan Press, Ann Arbor, MI. 1941, pp. 159-190
31. P.A. Smith: Transformations of finite period. III: Newman's theorem. Ann. Math. (2) 42 (1941), 446-458
32. D.G. Wright: Bing-Whitehead Cantor sets. Fund. Math. 132 (1989), 105-116
33. C.T. Yang: p-Adic transformation groups. Michigan Math. J. 7 (1960), 201-218