Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Hyperspaces and cones

Author(s): Sergio Macías
Journal: Proc. Amer. Math. Soc. 125 (1997), 3069-3073.
MSC (1991): Primary 54B20
MathSciNet review: 1425134
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Abstract: We characterize locally connected continua $X$ for which its hyperspace of subcontinua, $\mathcal {C}(X)$ , has finite dimension and is homeomorphic to the cone of a continuum $Z$ .

References:

[D]: R. Duda, On the hyperspaces of subcontinua of a finite graph, I, Fund. Math., 62 (1968), 265-286. MR 38:5175a
[D-R]: A. M. Dilks and J. T. Rogers, Jr., Whitney stability and contractible hyperspaces, Proc. Amer. Math. Soc. 83 (1981), 633-640. MR 82i:54023
[H-Y]: J. Hocking and G. Young, Topology, Dover, 1988. MR 90h:54001
[I]: A. Illanes, Hyperspaces homeomorphic to cones, Glasnik Mat. 30 (50) (1995), 285-294. MR 96k:54009
[N1]: S. B. Nadler, Jr., Continua whose cone and hyperspace are homeomorphic, Trans. Amer. Math. Soc., 230 (1977), 321-345. MR 57:4126
[N2]: S. B. Nadler, Jr., Hyperspaces of Sets, Marcel Dekker, 1978. MR 58:18330
[N3]: S. B. Nadler, Jr., Continuum Theory, Marcel Dekker, 1992. MR 93m:54002
[R1]: J. T. Rogers, Jr., The cone-hyperspace property, Can. J.Math., 24 (1972), 279-285. MR 45:4370
[R2]: J. T. Rogers, Jr., Continua with cones homeomorphic to hyperspaces, Gen. Top. and Its Applications, 3 (1973), 283-289. MR 50:14699

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