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Factoring the Hilbert cube
Author:
James E. West
Journal:
Bull. Amer. Math. Soc. 76 (1970), 116-120
MathSciNet review:
0251751
Full-text PDF
References |
Additional Information
- 1.
R. D. Anderson, The Hilbert cube as a product of dendrons, Notices Amer. Math. Soc. 11 (1964), 572, Abstract 614-149.
- 2.
R.
D. Anderson, Hilbert space is homeomorphic to the
countable infinite product of lines, Bull.
Amer. Math. Soc. 72
(1966), 515–519. MR 0190888
(32 #8298), http://dx.doi.org/10.1090/S0002-9904-1966-11524-0
- 3.
R.
D. Anderson, Topological properties of the Hilbert
cube and the infinite product of open intervals, Trans. Amer. Math. Soc. 126 (1967), 200–216. MR 0205212
(34 #5045), http://dx.doi.org/10.1090/S0002-9947-1967-0205212-3
- 4.
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. MR 0230284
(37 #5847), http://dx.doi.org/10.1090/S0002-9904-1968-12044-0
- 5.
Czesław
Bessaga and Victor
Klee, Every non-normable Frechet space is homeomorphic with all of
its closed convex bodies, Math. Ann. 163 (1966),
161–166. MR 0201949
(34 #1826)
- 6.
David
W. Henderson, Infinite-dimensional manifolds, Proc. Internat.
Sympos. on Topology and its Applications (Herceg-Novi, 1968), Savez
Društava Mat. Fiz. i Astronom., Belgrade, 1969,
pp. 183–185. MR 0285036
(44 #2260)
- 7.
David
W. Henderson, Open subsets of Hilbert space, Compositio Math.
21 (1969), 312–318. MR 0251748
(40 #4975)
- 8.
David
W. Henderson, Infinite-dimensional manifolds are open subsets of
Hilbert space, Topology 9 (1970), 25–33. MR 0250342
(40 #3581)
- 9.
Dan
Burghelea and Nicolaas
H. Kuiper, Hilbert manifolds, Ann. of Math. (2)
90 (1969), 379–417. MR 0253374
(40 #6589)
- 10.
J.
Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966), 358–426. MR 0196736
(33 #4922), http://dx.doi.org/10.1090/S0002-9904-1966-11484-2
- 11.
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). MR 0254876
(40 #8083)
- 12.
J. H. C. Whitehead, Simplicial spaces, nuclei, and m-groups, Proc. London Math. Soc. (2) 45 (1939), 243-327.
- 1.
- R. D. Anderson, The Hilbert cube as a product of dendrons, Notices Amer. Math. Soc. 11 (1964), 572, Abstract 614-149.
- 2.
- R. D. Anderson, Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc. 72.(1966), 515-519. MR 190888
- 3.
- R. D. Anderson, Topological properties of the Hilbert cube and the infinite product of open intervals, Trans. Amer. Math. Soc. 126. (1967), 200-216. MR 205212
- 4.
- 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. MR 230284
- 5.
- C. Bessaga and V. L. Klee, Every non-normable Fréchet space is homeomorphic with all its closed convex bodies, Math. Ann. 163 (1966), 161-166. MR 201949
- 6.
- D. W. Henderson, Infinite-dimensional manifolds, Proc. Internat. Sympos. Topology Appl., Herceg Novi, Jugoslavia, 1968. MR 285036
- 7.
- D. W. Henderson, Open subsets of Hilbert space, Compositio Math. (to appear). MR 251748
- 8.
- D. W. Henderson, Infinite-dimensional manifolds are open subsets of Hilbert space topology (to appear). MR 250342
- 9.
- N. H. Kuiper and D. Burghelea, Hilbert manifolds, Ann. of Math. (to appear). MR 253374
- 10.
- J. Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966), 358-426. MR 196736
- 11.
- N. Moulis, Sur les variétés Hilbertiennes et les fonctions non-dégénérés, Indag. Math. 30 (1968), 497-511. MR 254876
- 12.
- J. H. C. Whitehead, Simplicial spaces, nuclei, and m-groups, Proc. London Math. Soc. (2) 45 (1939), 243-327.
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1970-12390-4
PII:
S 0002-9904(1970)12390-4
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