Uncountably many inequivalent analytic actions of a compact group on $R^{n}$
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- by R. S. Palais and R. W. Richardson PDF
- Proc. Amer. Math. Soc. 14 (1963), 374-377 Request permission
References
- Stewart S. Cairns, The triangulation problem and its role in analysis, Bull. Amer. Math. Soc. 52 (1946), 545β571. MR 17531, DOI 10.1090/S0002-9904-1946-08610-3
- Hans Grauert, On Leviβs problem and the imbedding of real-analytic manifolds, Ann. of Math. (2) 68 (1958), 460β472. MR 98847, DOI 10.2307/1970257
- D. R. McMillan Jr., Some contractible open $3$-manifolds, Trans. Amer. Math. Soc. 102 (1962), 373β382. MR 137105, DOI 10.1090/S0002-9947-1962-0137105-X
- Edwin E. Moise, Affine structures in $3$-manifolds. V. The triangulation theorem and Hauptvermutung, Ann. of Math. (2) 56 (1952), 96β114. MR 48805, DOI 10.2307/1969769
- D. Montgomery, H. Samelson, and C. T. Yang, Groups on $E^n$ with $(n-2)$-dimensional orbits, Proc. Amer. Math. Soc. 7 (1956), 719β728. MR 78643, DOI 10.1090/S0002-9939-1956-0078643-0
- Richard S. Palais, Natural operations on differential forms, Trans. Amer. Math. Soc. 92 (1959), 125β141. MR 116352, DOI 10.1090/S0002-9947-1959-0116352-7
- Richard S. Palais, Equivalence of nearby differentiable actions of a compact group, Bull. Amer. Math. Soc. 67 (1961), 362β364. MR 130321, DOI 10.1090/S0002-9904-1961-10617-4
- John Stallings, The piecewise-linear structure of Euclidean space, Proc. Cambridge Philos. Soc. 58 (1962), 481β488. MR 149457, DOI 10.1017/S0305004100036756
- Hassler Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc. 36 (1934), no.Β 1, 63β89. MR 1501735, DOI 10.1090/S0002-9947-1934-1501735-3
- Hassler Whitney, Differentiable manifolds, Ann. of Math. (2) 37 (1936), no.Β 3, 645β680. MR 1503303, DOI 10.2307/1968482
Additional Information
- © Copyright 1963 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 14 (1963), 374-377
- MSC: Primary 57.47; Secondary 22.40
- DOI: https://doi.org/10.1090/S0002-9939-1963-0148796-8
- MathSciNet review: 0148796