Four mapping problems of Maćkowiak

E. Grace; E. Vought

Colloquium Mathematicae (1996)

  • Volume: 69, Issue: 1, page 133-141
  • ISSN: 0010-1354

Abstract

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In his paper "Continuous mappings on continua" [5], T. Maćkowiak collected results concerning mappings on metric continua. These results are theorems, counterexamples, and unsolved problems and are listed in a series of tables at the ends of chapters. It is the purpose of the present paper to provide solutions (three proofs and one example) to four of those problems.

How to cite

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Grace, E., and Vought, E.. "Four mapping problems of Maćkowiak." Colloquium Mathematicae 69.1 (1996): 133-141. <http://eudml.org/doc/210316>.

@article{Grace1996,
abstract = {In his paper "Continuous mappings on continua" [5], T. Maćkowiak collected results concerning mappings on metric continua. These results are theorems, counterexamples, and unsolved problems and are listed in a series of tables at the ends of chapters. It is the purpose of the present paper to provide solutions (three proofs and one example) to four of those problems.},
author = {Grace, E., Vought, E.},
journal = {Colloquium Mathematicae},
keywords = {local dendrite; (weak) limit property; hereditarily divisible by points; weakly confluent map; (hereditarily) n-confluent map; atriodic map; composition factor property; locally monotone map; (hereditarily) partially confluent map},
language = {eng},
number = {1},
pages = {133-141},
title = {Four mapping problems of Maćkowiak},
url = {http://eudml.org/doc/210316},
volume = {69},
year = {1996},
}

TY - JOUR
AU - Grace, E.
AU - Vought, E.
TI - Four mapping problems of Maćkowiak
JO - Colloquium Mathematicae
PY - 1996
VL - 69
IS - 1
SP - 133
EP - 141
AB - In his paper "Continuous mappings on continua" [5], T. Maćkowiak collected results concerning mappings on metric continua. These results are theorems, counterexamples, and unsolved problems and are listed in a series of tables at the ends of chapters. It is the purpose of the present paper to provide solutions (three proofs and one example) to four of those problems.
LA - eng
KW - local dendrite; (weak) limit property; hereditarily divisible by points; weakly confluent map; (hereditarily) n-confluent map; atriodic map; composition factor property; locally monotone map; (hereditarily) partially confluent map
UR - http://eudml.org/doc/210316
ER -

References

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  1. [1] R. H. Bing and F. B. Jones, Another homogeneous plane continuum, Trans. Amer. Math. Soc. 90 (1959), 171-192. Zbl0084.18903
  2. [2] J. Dugundji, Topology, Allyn and Bacon, Boston, 1966. 
  3. [3] F. B. Jones, On a certain type of homogeneous plane continuum, Proc. Amer. Math. Soc. 6 (1955), 735-740. Zbl0067.40506
  4. [4] K. Kuratowski, Topology, Vol. II, Academic Press, New York, 1968. 
  5. [5] T. Maćkowiak, Continuous mappings on continua, Dissertationes Math. (Rozprawy Mat.) 158 (1979). Zbl0444.54021
  6. [6] V. C. Nall, Maps which preserve graphs, Proc. Amer. Math. Soc. 101 (1987), 563-570. Zbl0628.54018
  7. [7] V. C. Nall, Partially confluent maps and n-ods, Houston J. Math. 15 (1989), 409-415. Zbl0693.54019

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