Characterizing Hilbert space topology in terms of strong negligibility
Compositio Mathematica, Volume 75 (1990) no. 3, pp. 299-306.
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     author = {Dijkstra, Jan J.},
     title = {Characterizing {Hilbert} space topology in terms of strong negligibility},
     journal = {Compositio Mathematica},
     pages = {299--306},
     publisher = {Kluwer Academic Publishers},
     volume = {75},
     number = {3},
     year = {1990},
     mrnumber = {1070416},
     zbl = {0724.57014},
     language = {en},
     url = {http://www.numdam.org/item/CM_1990__75_3_299_0/}
}
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Dijkstra, Jan J. Characterizing Hilbert space topology in terms of strong negligibility. Compositio Mathematica, Volume 75 (1990) no. 3, pp. 299-306. http://www.numdam.org/item/CM_1990__75_3_299_0/

1 Anderson, R.D., Strongly negligible sets in Fréchet manifolds. Bull. Amer. Math. Soc. 75, 64-67 (1969). | MR | Zbl

2 Bessaga, C., Pelczynski, A., Selected topics in infinite dimensional topology. Warsaw: PWN 1975. | MR | Zbl

3 Bestvina, M., Bowers, P.L., Mogilski, J., Walsh, J.J., Characterization of Hilbert space manifolds revisited. Topology Appl. 24, 53-69 (1986). | MR | Zbl

4 Cutler, W.H., Negligible subsets of infinite-dimensional Fréchet manifolds. Proc. Amer. Math. Soc. 23, 668-675 (1969). | MR | Zbl

5 Dijkstra, J.J., Strong negligibility of σ-compacta does not characterize Hilbert space. Pacific J. Math. 127, 19-30 (1987). | Zbl

6 Dijkstra, J.J., Strongly negligible sets outside Fréchet manifolds. Bull. London Math. Soc. 19, 371-377 (1987). | MR | Zbl

7 Geoghegan, R., Summerhill, R.R., Pseudo-boundaries and pseudo-interiors in Euclidean spaces and topological manifolds. Trans. Amer. Math. Soc. 194, 141-165 (1974). | MR | Zbl

8 Spanier, E.H., Algebraic Topology. New York: McGraw-Hill, 1966. | MR | Zbl

9 Toruńczyk, H., Absolute retracts as factors of normed linear spaces. Fund. Math. 86, 53-67 (1974). | MR | Zbl

10 Toruńczyk, H., Concerning locally homotopy negligible sets and characterization of l2manifolds. Fund. Math. 101, 93-110 (1978). | MR | Zbl

11 Toruńczyk, H., Characterizing Hilbert space topology. Fund. Math. 111, 247-262 (1981). | MR | Zbl