Bulletin of the American Mathematical Society

MathSciNet review: 1567133
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Book Information:

Author: Sam B. Nadler Jr.
Title: Hyperspaces of sets
Additional book information: Monographs and Textbooks on Pure and Applied Mathematics, No. 49, Marcel Dekker, Inc., New York, 1978, xvi + 707 pp., $45.00.

T. A. Chapman, Lectures on Hilbert cube manifolds, Regional Conference Series in Mathematics, No. 28, American Mathematical Society, Providence, R.I., 1976. Expository lectures from the CBMS Regional Conference held at Guilford College, October 11-15, 1975. MR 0423357

D. W. Curtis and R. M. Schori, $2^{x}$ and $C(X)$ are homeomorphic to the Hilbert cube, Bull. Amer. Math. Soc. 80 (1974), 927–931. MR 353235, DOI 10.1090/S0002-9904-1974-13579-2

J. L. Kelley, Hyperspaces of a continuum, Trans. Amer. Math. Soc. 52 (1942), 22–36. MR 6505, DOI 10.1090/S0002-9947-1942-0006505-8

Ernest Michael, Topologies on spaces of subsets, Trans. Amer. Math. Soc. 71 (1951), 152–182. MR 42109, DOI 10.1090/S0002-9947-1951-0042109-4

Ernest Michael, Continuous selections. I, Ann. of Math. (2) 63 (1956), 361–382. MR 77107, DOI 10.2307/1969615

Ernest Michael, Continuous selections. II, Ann. of Math. (2) 64 (1956), 562–580. MR 80909, DOI 10.2307/1969603

Ernest Michael, Continuous selections. III, Ann. of Math. (2) 65 (1957), 375–390. MR 83715, DOI 10.2307/1969969

R. M. Schori and J. E. West, The hyperspace of the closed unit interval is a Hilbert cube, Trans. Amer. Math. Soc. 213 (1975), 217–235. MR 390993, DOI 10.1090/S0002-9947-1975-0390993-3

Jack Segal, Hyperspaces of the inverse limit space, Proc. Amer. Math. Soc. 10 (1959), 706–709. MR 108780, DOI 10.1090/S0002-9939-1959-0108780-6

H. Toruńczyk, On $\textrm {CE}$-images of the Hilbert cube and characterization of $Q$-manifolds, Fund. Math. 106 (1980), no. 1, 31–40. MR 585543, DOI 10.4064/fm-106-1-31-40

1.

T. A. Chapman, Lectures on Hilbert cube manifolds, CBMS Regional Conf. Series in Math. no. 28, Amer. Math. Soc. Providence, R. I., 1976. MR 0423357

2.

D. W. Curtis and R. M. Schori, 2, Bull. Amer. Math. Soc. 80 (1974), 927-931. MR 353235

3.

J. L. Kelley, Hyperspaces of a continuum, Trans. Amer. Math. Soc. 52 (1942), 22-36. MR 6505

4.

E. Michael, Topologies on spaces of subsets, Trans. Amer. Math. Soc. 71 (1951), 152-182. MR 42109

5.

E. Michael, Continuous selections. I, Ann. of Math. (2) 63 (1956), 361-382. MR 77107

6.

E. Michael, Continuous selections. II, Ann. of Math. (2) 64 (1956), 562-580. MR 80909

7.

E. Michael, Continuous selections. III, Ann. of Math. (2) 65 (1957), 375-390. MR 83715

8.

R. M. Schori and J. E. West, The hyperspace of the closed unit interval is a Hilbert cube, Trans. Amer. Math. Soc. 213 (1975), 217-235. MR 390993

9.

J. Segal, Hyperspaces of the inverse limit space, Proc. Amer. Math. Soc. 10 (1959), 706-709. MR 108780

10 H. Toruńczyk, On CE-images of the Hilbert cube and characterization of Q-manifolds, Fund. Math. (to appear). MR 585543


10 H. Toruńczyk, On CE-images of the Hilbert cube and characterization of Q-manifolds, Fund. Math. (to appear).