Absolutely terminal continua and confluent mappings

Janusz Jerzy Charatonik

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 2, page 377-382
  • ISSN: 0010-2628

Abstract

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Interrelations between three concepts of terminal continua and their behaviour, when the underlying continuum is confluently mapped, are studied.

How to cite

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Charatonik, Janusz Jerzy. "Absolutely terminal continua and confluent mappings." Commentationes Mathematicae Universitatis Carolinae 32.2 (1991): 377-382. <http://eudml.org/doc/247289>.

@article{Charatonik1991,
abstract = {Interrelations between three concepts of terminal continua and their behaviour, when the underlying continuum is confluently mapped, are studied.},
author = {Charatonik, Janusz Jerzy},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {absolute; arclike; atriodic; confluent; continuum; hereditary; irreducible; mapping; quasi-monotone; terminal; absolutely terminal continuum; confluent mappings; quasi-monotone mappings},
language = {eng},
number = {2},
pages = {377-382},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Absolutely terminal continua and confluent mappings},
url = {http://eudml.org/doc/247289},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Charatonik, Janusz Jerzy
TI - Absolutely terminal continua and confluent mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 2
SP - 377
EP - 382
AB - Interrelations between three concepts of terminal continua and their behaviour, when the underlying continuum is confluently mapped, are studied.
LA - eng
KW - absolute; arclike; atriodic; confluent; continuum; hereditary; irreducible; mapping; quasi-monotone; terminal; absolutely terminal continuum; confluent mappings; quasi-monotone mappings
UR - http://eudml.org/doc/247289
ER -

References

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  1. Bennett D.E., Fugate J.B., Continua and their non-separating subcontinua, Dissertationes Math. (Rozprawy Mat.) 149 (1977), 1-50. (1977) Zbl0354.54017MR0451212
  2. Charatonik J.J., Confluent mappings and unicoherence of continua, Fund. Math. 56 (1964), 213-220. (1964) Zbl0134.18904MR0176451
  3. Charatonik J.J., Fixed point property for monotone mappings of hereditarily stratified λ -dendroids, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 26 (1968), 931-936. (1968) Zbl0176.20301MR0242140
  4. Charatonik J.J., Terminal continua and quasi-monotone mappings, preprint. Zbl0780.54031MR1189993
  5. Fugate J.B., Decomposable chainable continua, Trans. Amer. Math. Soc. 123 (1966), 460-468. (1966) Zbl0139.40701MR0196720
  6. Gordh G.R., Jr., Terminal subcontinua of hereditarily unicoherent continua, Pacific J. Math. 47 (1973), 457-464. (1973) Zbl0262.54032MR0362268
  7. Maćkowiak T., The hereditary classes of mappings, Fund. Math. 97 (1976), 123-150. (1976) MR0644150
  8. Maćkowiak T., Continuous mappings on continua, Dissertationes Math. (Rozprawy Mat.) 158 (1979), 1-95. (1979) MR0522934
  9. Nadler S.B., Jr., Hyperspaces of sets, Dekker, 1978. Zbl1125.54001MR0500811
  10. Whyburn G.T., Analytic topology, Amer. Math. Soc. Colloq. Publ., vol. 28, Providence, 1942. Zbl0117.15804MR0007095

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