Characterizing Hilbert space topology in terms of strong negligibility

Jan J. Dijkstra

Compositio Mathematica (1990)

  • Volume: 75, Issue: 3, page 299-306
  • ISSN: 0010-437X

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Dijkstra, Jan J.. "Characterizing Hilbert space topology in terms of strong negligibility." Compositio Mathematica 75.3 (1990): 299-306. <http://eudml.org/doc/90040>.

@article{Dijkstra1990,
author = {Dijkstra, Jan J.},
journal = {Compositio Mathematica},
keywords = {-manifolds; strongly negligible sets; Z-sets; complete ANR; strong Z-set; discrete disks property},
language = {eng},
number = {3},
pages = {299-306},
publisher = {Kluwer Academic Publishers},
title = {Characterizing Hilbert space topology in terms of strong negligibility},
url = {http://eudml.org/doc/90040},
volume = {75},
year = {1990},
}

TY - JOUR
AU - Dijkstra, Jan J.
TI - Characterizing Hilbert space topology in terms of strong negligibility
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 75
IS - 3
SP - 299
EP - 306
LA - eng
KW - -manifolds; strongly negligible sets; Z-sets; complete ANR; strong Z-set; discrete disks property
UR - http://eudml.org/doc/90040
ER -

References

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  1. 1 Anderson, R.D., Strongly negligible sets in Fréchet manifolds. Bull. Amer. Math. Soc.75, 64-67 (1969). Zbl0195.53602MR238358
  2. 2 Bessaga, C., Pelczynski, A., Selected topics in infinite dimensional topology. Warsaw: PWN1975. Zbl0304.57001MR478168
  3. 3 Bestvina, M., Bowers, P.L., Mogilski, J., Walsh, J.J., Characterization of Hilbert space manifolds revisited. Topology Appl.24, 53-69 (1986). Zbl0613.58003MR872478
  4. 4 Cutler, W.H., Negligible subsets of infinite-dimensional Fréchet manifolds. Proc. Amer. Math. Soc.23, 668-675 (1969). Zbl0195.53603MR248883
  5. 5 Dijkstra, J.J., Strong negligibility of σ-compacta does not characterize Hilbert space. Pacific J. Math.127, 19-30 (1987). Zbl0724.57015
  6. 6 Dijkstra, J.J., Strongly negligible sets outside Fréchet manifolds. Bull. London Math. Soc.19, 371-377 (1987). Zbl0619.57005MR887778
  7. 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). Zbl0288.57001MR356061
  8. 8 Spanier, E.H., Algebraic Topology. New York: McGraw-Hill, 1966. Zbl0145.43303MR210112
  9. 9 Toruńczyk, H., Absolute retracts as factors of normed linear spaces. Fund. Math.86, 53-67 (1974). Zbl0318.57005MR365471
  10. 10 Toruńczyk, H., Concerning locally homotopy negligible sets and characterization of l2manifolds. Fund. Math.101, 93-110 (1978). Zbl0406.55003MR518344
  11. 11 Toruńczyk, H., Characterizing Hilbert space topology. Fund. Math.111, 247-262 (1981). Zbl0468.57015MR611763

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