Strongly negligible sets in Fréchet manifolds
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- by R. D. Anderson PDF
- Bull. Amer. Math. Soc. 75 (1969), 64-67
References
- R. D. Anderson, Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc. 72 (1966), 515–519. MR 190888, DOI 10.1090/S0002-9904-1966-11524-0
- R. D. Anderson, Topological properties of the Hilbert cube and the infinite product of open intervals, Trans. Amer. Math. Soc. 126 (1967), 200–216. MR 205212, DOI 10.1090/S0002-9947-1967-0205212-3
- R. D. Anderson, On a theorem of Klee, Proc. Amer. Math. Soc. 17 (1966), 1401–1404. MR 205029, DOI 10.1090/S0002-9939-1966-0205029-4
- R. D. Anderson, On topological infinite deficiency, Michigan Math. J. 14 (1967), 365–383. MR 214041, DOI 10.1307/mmj/1028999787
- R. D. Anderson and R. H. Bing, A complete elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc. 74 (1968), 771–792. MR 230284, DOI 10.1090/S0002-9904-1968-12044-0
- R. D. Anderson, David W. Henderson, and James E. West, Negligible subsets of infinite-dimensional manifolds, Compositio Math. 21 (1969), 143–150. MR 246326
- C. Bessaga, Every infinite-dimensional Hilbert space is diffeomorphic with its unit sphere, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 14 (1966), 27–31 (English, with Russian summary). MR 193646
- C. Bessaga and A. Pełczyński, Some remarks on homeomorphisms of $F$-spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 10 (1962), 265–270. MR 139917
- James Eells Jr. and Nicolaas H. Kuiper, Homotopy negligible subsets, Compositio Math. 21 (1969), 155–161. MR 253331
- M. Ĭ. Kadec′, Topological equivalence of all separable Banach spaces, Dokl. Akad. Nauk SSSR 167 (1966), 23–25 (Russian). MR 0201951
- 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 12. Nicolaas H. Kuiper and Dan Burghelea, Hilbet manifolds, preprint.
- 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
- Bor-luh Lin, Two topological problems concerning infinite-dimensional normed linear spaces, Trans. Amer. Math. Soc. 114 (1965), 156–175. MR 180831, DOI 10.1090/S0002-9947-1965-0180831-X 15. Peter Renz, Smooth extensions and extractions in infinite-dimensional Banach spaces, Dissertation, University of Washington, Seattle, Wash., 1968.
Additional Information
- Journal: Bull. Amer. Math. Soc. 75 (1969), 64-67
- DOI: https://doi.org/10.1090/S0002-9904-1969-12146-4
- MathSciNet review: 0238358