Monotone homogeneity of dendrites

Janusz Jerzy Charatonik; Włodzimierz J. Charatonik

Commentationes Mathematicae Universitatis Carolinae (1997)

  • Volume: 38, Issue: 2, page 361-370
  • ISSN: 0010-2628

Abstract

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Sufficient as well as necessary conditions are studied for a dendrite or a dendroid to be homogeneous with respect to monotone mappings. The obtained results extend ones due to H. Kato and the first named author. A number of open problems are asked.

How to cite

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Charatonik, Janusz Jerzy, and Charatonik, Włodzimierz J.. "Monotone homogeneity of dendrites." Commentationes Mathematicae Universitatis Carolinae 38.2 (1997): 361-370. <http://eudml.org/doc/248096>.

@article{Charatonik1997,
abstract = {Sufficient as well as necessary conditions are studied for a dendrite or a dendroid to be homogeneous with respect to monotone mappings. The obtained results extend ones due to H. Kato and the first named author. A number of open problems are asked.},
author = {Charatonik, Janusz Jerzy, Charatonik, Włodzimierz J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {confluent; dendrite; dendroid; homeomorphism; homogeneous; mapping; monotone; order of a point; ramification; standard; universal; confluent; dendrite; dendroid; homeomorphism; homogeneous; mapping; monotone; order of a point; ramification; standard; universal},
language = {eng},
number = {2},
pages = {361-370},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Monotone homogeneity of dendrites},
url = {http://eudml.org/doc/248096},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Charatonik, Janusz Jerzy
AU - Charatonik, Włodzimierz J.
TI - Monotone homogeneity of dendrites
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 2
SP - 361
EP - 370
AB - Sufficient as well as necessary conditions are studied for a dendrite or a dendroid to be homogeneous with respect to monotone mappings. The obtained results extend ones due to H. Kato and the first named author. A number of open problems are asked.
LA - eng
KW - confluent; dendrite; dendroid; homeomorphism; homogeneous; mapping; monotone; order of a point; ramification; standard; universal; confluent; dendrite; dendroid; homeomorphism; homogeneous; mapping; monotone; order of a point; ramification; standard; universal
UR - http://eudml.org/doc/248096
ER -

References

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  2. Charatonik J.J., Generalized homogeneity of curves and a question of H. Kato, Bull. Polish Acad. Sci. Math. 36 (1988), 409-411. (1988) Zbl0767.54030MR1101430
  3. Charatonik J.J., Monotone mappings of universal dendrites, Topology Appl. 38 (1991), 163-187. (1991) Zbl0726.54012MR1094549
  4. Charatonik J.J., Charatonik W.J., Prajs J.R., Mapping hierarchy for dendrites, Dissertationes Math. (Rozprawy Mat.) 333 (1994), 1-52. (1994) Zbl0822.54009MR1279238
  5. Charatonik J.J., Eberhart C., On smooth dendroids, Fund. Math. 67 (1970), 297-322. (1970) Zbl0192.60002MR0275372
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  10. Goodkyoontz J.T., Jr., Some functions on hyperspaces of hereditarily unicoherent continua, Fund. Math. 95 (1977), 1-10. (1977) MR0436097
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  16. Maćkowiak T., Semi-confluent mappings and their invariants, Fund. Math. 69 (1973), 251-264. (1973) MR0321044
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