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Strongly negligible sets in Frechet manifolds. (English) Zbl 0195.53602

topology
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##### References:
 [1] R. D. Anderson, Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc. 72 (1966), 515 – 519. · Zbl 0137.09703 [2] R. D. Anderson, Topological properties of the Hilbert cube and the infinite product of open intervals, Trans. Amer. Math. Soc. 126 (1967), 200 – 216. · Zbl 0152.12601 [3] R. D. Anderson, On a theorem of Klee, Proc. Amer. Math. Soc. 17 (1966), 1401 – 1404. · Zbl 0152.12502 [4] R. D. Anderson, On topological infinite deficiency, Michigan Math. J. 14 (1967), 365 – 383. · Zbl 0148.37202 [5] 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. · Zbl 0189.12402 [6] R. D. Anderson, David W. Henderson, and James E. West, Negligible subsets of infinite-dimensional manifolds, Compositio Math. 21 (1969), 143 – 150. · Zbl 0185.50803 [7] 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). · Zbl 0151.17703 [8] C. Bessaga and A. Pełczyński, Some remarks on homeomorphisms of \?-spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 10 (1962), 265 – 270. · Zbl 0103.32801 [9] James Eells Jr. and Nicolaas H. Kuiper, Homotopy negligible subsets, Compositio Math. 21 (1969), 155 – 161. · Zbl 0181.51401 [10] M. Ĭ. Kadec$$^{\prime}$$, Topological equivalence of all separable Banach spaces, Dokl. Akad. Nauk SSSR 167 (1966), 23 – 25 (Russian). [11] Victor L. Klee Jr., Convex bodies and periodic homeomorphisms in Hilbert space, Trans. Amer. Math. Soc. 74 (1953), 10 – 43. · Zbl 0050.33202 [12] Nicolaas H. Kuiper and Dan Burghelea, Hilbet manifolds, preprint. · Zbl 0195.53501 [13] 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). · Zbl 0167.50204 [14] Bor-luh Lin, Two topological problems concerning infinite-dimensional normed linear spaces, Trans. Amer. Math. Soc. 114 (1965), 156 – 175. · Zbl 0133.06603 [15] Peter Renz, Smooth extensions and extractions in infinite-dimensional Banach spaces, Dissertation, University of Washington, Seattle, Wash., 1968.
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