The space of Whitney levels is homeomorphic to $l_2$

 Access to full text

 Full (PDF)

1. [1] W. J. Charatonik, A metric on hyperspaces defined by Whitney maps, Proc. Amer. Math. Soc. 94 (1985), 535-538. Zbl0567.54007
2. [2] D. W. Curtis, Application of a selection theorem to hyperspace contractibility, Canad. J. Math. 37 (1985), 747-759. Zbl0563.54008
3. [3] J. Dugundji, An extension of Tietze's theorem, Pacific J. Math. 1 (1951), 353-367. Zbl0043.38105
4. [4] J. Dugundji, Topology, Allyn and Bacon, 1966. 
5. [5] C. Eberhart and S. B. Nadler, The dimension of certain hyperspaces, Bull. Acad. Polon. Sci. 19 (1971), 1027-1034. Zbl0235.54037
6. [6] A. Illanes, Spaces of Whitney maps, Pacific J. Math. 139 (1989), 67-77. Zbl0674.54012
7. [7] A. Illanes, The space of Whitney levels, Topology Appl. 40 (1991), 157-169. Zbl0761.54010
8. [8] A. Illanes, The space of Whitney decompositions, Ann. Inst. Mat. Univ. Autónoma México 28 (1988), 47-61. Zbl0718.54025
9. [9] S. B. Nadler, Hyperspaces of Sets, Dekker, 1978. Zbl0432.54007
10. [10] H. Toruńczyk, Characterizing Hilbert space topology, Fund. Math. 111 (1981), 247-262. Zbl0468.57015
11. [11] L. E. Ward, Jr., Extending Whitney maps, Pacific J. Math. 93 (1981), 465-469. Zbl0457.54008
12. [12] S. Willard, General Topology, Addison-Wesley, 1970. 

1. Alejandro Illanes, A characterization of dendroids by the n-connectedness of the Whitney levels