# Four mapping problems of Maćkowiak

Colloquium Mathematicae (1996)

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

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topGrace, 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

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

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