Smoothings and homeomorphisms for Hilbert manifolds
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- by Dan Burghelea and David Henderson PDF
- Bull. Amer. Math. Soc. 76 (1970), 1261-1265
References
- R. D. Anderson and John D. McCharen, On extending homeomorphisms to Fréchet manifolds, Proc. Amer. Math. Soc. 25 (1970), 283–289. MR 258064, DOI 10.1090/S0002-9939-1970-0258064-5
- Dan Burghelea, Imbedding Hilbert manifolds with given normal bundle, Math. Ann. 187 (1970), 207–219. MR 266253, DOI 10.1007/BF01432254
- Dan Burghelea, Diffeomorphisms for Hilbert manifolds and handle decomposition, Bull. Amer. Math. Soc. 76 (1970), 352–357. MR 258065, DOI 10.1090/S0002-9904-1970-12475-2
- Dan Burghelea and Nicolaas H. Kuiper, Hilbert manifolds, Ann. of Math. (2) 90 (1969), 379–417. MR 253374, DOI 10.2307/1970743
- James Eells and John McAlpin, An approximate Morse-Sard theorem, J. Math. Mech. 17 (1967/1968), 1055–1064. MR 0226680
- J. Eells and K. D. Elworthy, Open embeddings of certain Banach manifolds, Ann. of Math. (2) 91 (1970), 465–485. MR 263120, DOI 10.2307/1970634 7. D. Elworthy, A general ambient isotopy theorem for homotopic closed imbeddings in ∞-codimension (manuscript).
- David W. Henderson, Infinite-dimensional manifolds are open subsets of Hilbert space, Topology 9 (1970), 25–33. MR 250342, DOI 10.1016/0040-9383(70)90046-7
- David W. Henderson, Infinite-dimensional manifolds, Proc. Internat. Sympos. on Topology and its Applications (Herceg-Novi, 1968) Savez Društava Mat. Fiz. i Astronom., Belgrade, 1969, pp. 183–185. MR 0285036
- Victor L. Klee Jr., Convex bodies and periodic homeomorphisms in Hilbert space, Trans. Amer. Math. Soc. 74 (1953), 10–43. MR 54850, DOI 10.1090/S0002-9947-1953-0054850-X
- Serge Lang, Introduction to differentiable manifolds, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0155257
- Nicole Moulis, Sur les variétés Hilbertiennes et les fonctions non dégénérées, Nederl. Akad. Wetensch. Proc. Ser. A 71 = Indag. Math. 30 (1968), 497–511 (French). MR 0254876, DOI 10.1016/S1385-7258(68)50061-1
Additional Information
- Journal: Bull. Amer. Math. Soc. 76 (1970), 1261-1265
- MSC (1970): Primary 57A20, 58B10; Secondary 55D15, 57D10
- DOI: https://doi.org/10.1090/S0002-9904-1970-12630-1
- MathSciNet review: 0283827