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$2^I $ is homeomorphic to the Hilbert cube
Authors:
R. Schori and J. E. West
Journal:
Bull. Amer. Math. Soc. 78 (1972), 402-406
MSC (1970):
Primary 54B10, 54B20, 54B25, 54F65, 57A20
MathSciNet review:
0309119
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Morton
Brown, Some applications of an approximation
theorem for inverse limits, Proc. Amer. Math.
Soc. 11 (1960),
478–483. MR 0115157
(22 #5959), http://dx.doi.org/10.1090/S0002-9939-1960-0115157-4
- 2.
Ott-Heinrich
Keller, Die Homoiomorphie der kompakten konvexen Mengen im
Hilbertschen Raum, Math. Ann. 105 (1931), no. 1,
748–758 (German). MR
1512740, http://dx.doi.org/10.1007/BF01455844
- 3.
R.
M. Schori, Hyperspaces and symmetric products of topological
spaces, Fund. Math. 63 (1968), 77–88. MR 0232336
(38 #661)
- 4.
James
E. West, Infinite products which are Hilbert
cubes, Trans. Amer. Math. Soc. 150 (1970), 1–25. MR 0266147
(42 #1055), http://dx.doi.org/10.1090/S0002-9947-1970-0266147-3
- 5.
James
E. West, Mapping cylinders of Hilbert cube factors, General
Topology and Appl. 1 (1971), no. 2, 111–125. MR 0288788
(44 #5984)
- 6.
James
E. West, The subcontinua of a dendron form a
Hilbert cube factor, Proc. Amer. Math. Soc.
36 (1972),
603–608. MR 0312449
(47 #1006), http://dx.doi.org/10.1090/S0002-9939-1972-0312449-9
- 7.
M. Wojdyslawski, Sur la contractilité des hyperspaces de continus localement connexes, Fund. Math. 30 (1938), 247-252.
- 1.
- M. Brown, Some applications of an approximation theorem for inverse limits, Proc. Amer. Math. Soc. 11 (1960), 478-483. MR 22 #5959. MR 115157
- 2.
- O. H. Keller, Die Homeomorphie der kompakten konvexen Mengen in Hilbertschen Raum, Math. Ann. 105 (1931), 748-758. MR 1512740
- 3.
- R. M. Schori, Hvperspaces and symmetric products of topological spaces, Fund. Math. 68 (1966), 77-88. MR 232336
- 4.
- J.E. West, Infinite products which are Hilbert cubes, Trans. Amer. Math. Soc. 150 (1970), 1-25. MR 266147
- 5.
- J.E. West, Mapping cylinders of Hilbert cube factors, General Topology 1 (1971), 111-125. MR 288788
- 6.
- J.E. West, The subcontinua of a dendron form a Hilbert cube factor, Proc. Amer. Math. Soc. (to appear). MR 312449
- 7.
- M. Wojdyslawski, Sur la contractilité des hyperspaces de continus localement connexes, Fund. Math. 30 (1938), 247-252.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1972-12917-3
PII:
S 0002-9904(1972)12917-3
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