The openness of induced maps on hyperspaces

Alejandro Illanes

Colloquium Mathematicae (1998)

  • Volume: 74, Issue: 2, page 219-224
  • ISSN: 0010-1354

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Illanes, Alejandro. "The openness of induced maps on hyperspaces." Colloquium Mathematicae 74.2 (1998): 219-224. <http://eudml.org/doc/210511>.

@article{Illanes1998,
author = {Illanes, Alejandro},
journal = {Colloquium Mathematicae},
keywords = {hyperspace; induced map; open map; continuum; induced mapping; open mapping},
language = {eng},
number = {2},
pages = {219-224},
title = {The openness of induced maps on hyperspaces},
url = {http://eudml.org/doc/210511},
volume = {74},
year = {1998},
}

TY - JOUR
AU - Illanes, Alejandro
TI - The openness of induced maps on hyperspaces
JO - Colloquium Mathematicae
PY - 1998
VL - 74
IS - 2
SP - 219
EP - 224
LA - eng
KW - hyperspace; induced map; open map; continuum; induced mapping; open mapping
UR - http://eudml.org/doc/210511
ER -

References

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  1. [1] J. J. Charatonik, Confluent mappings and unicoherence of continua, Fund. Math., 56 (1964), 213-220. Zbl0134.18904
  2. [2] J. J. Charatonik, Properties of elementary and of some related classes of mappings, preprint. Zbl0948.54019
  3. [3] J. J. Charatonik and W. J. Charatonik, Lightness of induced mappings, preprint. Zbl0939.54005
  4. [4] J. J. Charatonik and W. J. Charatonik, Hereditarily weakly confluent induced mappings are homeomorphisms, preprint. Zbl0890.54033
  5. [5] J. J. Charatonik and W. J. Charatonik, Inducible mappings between hyperspaces, preprint. Zbl0888.54012
  6. [6] J. J. Charatonik and W. J. Charatonik, Limit properties of induced mappings, preprint. Zbl0994.54035
  7. [7] J. J. Charatonik and W. J. Charatonik, Atomicity of mappings, preprint. 
  8. [8] W. J. Charatonik, Arc approximation property and confluence of induced mappings, Rocky Mountain J. Math., to appear. Zbl0926.54024
  9. [9] W. J. Charatonik, Monotone induced mappings, preprint. Zbl1051.54024
  10. [10] H. Hosokawa, Induced mappings between hyperspaces, Bull. Tokyo Gakugei Univ., Sect. 4, 41 (1989), 1-6. 
  11. [11] H. Hosokawa, Mappings of hyperspaces induced by refinable mappings, ibid. 42 (1990), 1-8. Zbl0719.54008
  12. [12] H. Hosokawa, Induced mappings between hyperspaces II, ibid. 44 (1992), 1-7. Zbl0767.54005
  13. [13] H. Hosokawa, Induced mappings on hyperspaces, preprint. 
  14. [14] H. Hosokawa, Induced mappings on hyperspaces II, preprint. Zbl1025.54500
  15. [15] S. B. Nadler, Jr., Hyperspaces of Sets, Marcel Dekker, New York, 1978. 

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