The space of Whitney levels is homeomorphic to l 2

Alejandro Illanes

Colloquium Mathematicae (1993)

  • Volume: 65, Issue: 1, page 1-11
  • ISSN: 0010-1354

How to cite

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Illanes, Alejandro. "The space of Whitney levels is homeomorphic to $l_2$." Colloquium Mathematicae 65.1 (1993): 1-11. <http://eudml.org/doc/210200>.

@article{Illanes1993,
author = {Illanes, Alejandro},
journal = {Colloquium Mathematicae},
keywords = {metrizable continuum; hyperspace; Whitney map; Whitney levels},
language = {eng},
number = {1},
pages = {1-11},
title = {The space of Whitney levels is homeomorphic to $l_2$},
url = {http://eudml.org/doc/210200},
volume = {65},
year = {1993},
}

TY - JOUR
AU - Illanes, Alejandro
TI - The space of Whitney levels is homeomorphic to $l_2$
JO - Colloquium Mathematicae
PY - 1993
VL - 65
IS - 1
SP - 1
EP - 11
LA - eng
KW - metrizable continuum; hyperspace; Whitney map; Whitney levels
UR - http://eudml.org/doc/210200
ER -

References

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  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. 

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