@article{CM_1990__75_3_299_0,
author = {Dijkstra, Jan J.},
title = {Characterizing {Hilbert} space topology in terms of strong negligibility},
journal = {Compositio Mathematica},
pages = {299--306},
year = {1990},
publisher = {Kluwer Academic Publishers},
volume = {75},
number = {3},
mrnumber = {1070416},
zbl = {0724.57014},
language = {en},
url = {https://www.numdam.org/item/CM_1990__75_3_299_0/}
}
TY - JOUR AU - Dijkstra, Jan J. TI - Characterizing Hilbert space topology in terms of strong negligibility JO - Compositio Mathematica PY - 1990 SP - 299 EP - 306 VL - 75 IS - 3 PB - Kluwer Academic Publishers UR - https://www.numdam.org/item/CM_1990__75_3_299_0/ LA - en ID - CM_1990__75_3_299_0 ER -
Dijkstra, Jan J. Characterizing Hilbert space topology in terms of strong negligibility. Compositio Mathematica, Tome 75 (1990) no. 3, pp. 299-306. https://www.numdam.org/item/CM_1990__75_3_299_0/
1 , Strongly negligible sets in Fréchet manifolds. Bull. Amer. Math. Soc. 75, 64-67 (1969). | Zbl | MR
2 , , Selected topics in infinite dimensional topology. Warsaw: PWN 1975. | Zbl | MR
3 , , , , Characterization of Hilbert space manifolds revisited. Topology Appl. 24, 53-69 (1986). | Zbl | MR
4 , Negligible subsets of infinite-dimensional Fréchet manifolds. Proc. Amer. Math. Soc. 23, 668-675 (1969). | Zbl | MR
5 , Strong negligibility of σ-compacta does not characterize Hilbert space. Pacific J. Math. 127, 19-30 (1987). | Zbl
6 , Strongly negligible sets outside Fréchet manifolds. Bull. London Math. Soc. 19, 371-377 (1987). | Zbl | MR
7 , , Pseudo-boundaries and pseudo-interiors in Euclidean spaces and topological manifolds. Trans. Amer. Math. Soc. 194, 141-165 (1974). | Zbl | MR
8 , Algebraic Topology. New York: McGraw-Hill, 1966. | Zbl | MR
9 , Absolute retracts as factors of normed linear spaces. Fund. Math. 86, 53-67 (1974). | Zbl | MR
10 , Concerning locally homotopy negligible sets and characterization of l2manifolds. Fund. Math. 101, 93-110 (1978). | Zbl | MR
11 , Characterizing Hilbert space topology. Fund. Math. 111, 247-262 (1981). | Zbl | MR






