Open subsets of Hilbert space

David W. Henderson

Compositio Mathematica (1969)

  • Volume: 21, Issue: 3, page 312-318
  • ISSN: 0010-437X

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Henderson, David W.. "Open subsets of Hilbert space." Compositio Mathematica 21.3 (1969): 312-318. <http://eudml.org/doc/89023>.

@article{Henderson1969,
author = {Henderson, David W.},
journal = {Compositio Mathematica},
keywords = {topology},
language = {eng},
number = {3},
pages = {312-318},
publisher = {Wolters-Noordhoff Publishing},
title = {Open subsets of Hilbert space},
url = {http://eudml.org/doc/89023},
volume = {21},
year = {1969},
}

TY - JOUR
AU - Henderson, David W.
TI - Open subsets of Hilbert space
JO - Compositio Mathematica
PY - 1969
PB - Wolters-Noordhoff Publishing
VL - 21
IS - 3
SP - 312
EP - 318
LA - eng
KW - topology
UR - http://eudml.org/doc/89023
ER -

References

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  1. R.D. Anderson [1] Hilbert space is homeomorphic to the countable infinite product of reallines, Bull. AMS, 72 (1966), 515-519. Zbl0137.09703MR190888
  2. R.D. Anderson [2] On topological infinite deficiency, Michigan Math. J., 14 (1967), 365-383. Zbl0148.37202MR214041
  3. R.D. Anderson and R.H. Bing [3] A complete elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines, Bull. AMS74 (1968), 771—792. Zbl0189.12402
  4. R.D. Anderson, D.W. Henderson and J.E. West [4] Negligible subsets of infinite-dimensional manifolds, to appear in Compositio Math. Zbl0185.50803MR246326
  5. I. Bernstein and T. Ganea [5] Remark on spaces dominated by manifolds. Fund. Math.XLVII (1959), 45-56. Zbl0088.39203MR105690
  6. W. Browder [6] Homotopy type of differentiable manifolds. Colloq. Alg. Topology. Aarhus Univ. (1962), 42—46. Zbl0144.22701
  7. J. Eells and K.D. Elworthy [7] On the differential topology of Hilbertian manifolds, to appear in the Proceedings of the Summer Institute on Global Analysis, Berkeley (1968). Zbl0205.53602
  8. D.W. Henderson [8] Infinite-dimensional manifolds, Proceedings of the International Symposium on Topology and its Applications, Herceg Novi, Jugoslavia, 1968. Zbl0202.21801MR285036
  9. D.W. Henderson [9] Infinite-dimensional Manifolds are Open Subsets of Hilbert Space, to appear in Bulletin AMS and Topology. Zbl0167.51904MR250342
  10. V.L. Klee [10] Convex bodies and periodic homeomorphism in Hilbert space, Trans. AMS74 (1953), 10—43. Zbl0050.33202
  11. N.H. Kuiper and D. Burghelea [11] Hilbert manifolds, to appear. Zbl0195.53501MR253374
  12. N. Moulis [12] Sur les variétés hilbertiennes et les fonctions non dégénereés, to appear. Zbl0167.50204MR254876
  13. S.P. Novikov, [13] Homotopically equivalent smooth manifolds I. ИаВ.AH28 (1964), 365—474. A.M.S. Transl.48, 271—396. Zbl0151.32103
  14. C.T.C. Wall [14] Finiteness conditions for CW complexes. Ann. Math.81 (1965), 56-69. Zbl0152.21902MR171284
  15. J.R. Stallings [15] Lectures on Polyhedral Topology, Tata Institute, Bombay, India, 1968. Zbl0182.26203MR238329

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