Four mapping problems of Maćkowiak

• Autorzy: E. E. Grace , E. J. Vought
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 69
• Numer: 1
• Strony: 133-141

Daty

wydano

1996

otrzymano

1994-10-03

Twórcy

autor

E. E. Grace

• Department of Mathematics, Arizona State University, Tempe, Arizona 85287-1804, U.S.A.

autor

E. J. Vought

• Department of Mathematics and Statistics, California State Iniversity, Chico, Chico, California 95929-0525, U.S.A.

Bibliografia

• [1] R. H. Bing and F. B. Jones, Another homogeneous plane continuum, Trans. Amer. Math. Soc. 90 (1959), 171-192.
• [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.
• [4] K. Kuratowski, Topology, Vol. II, Academic Press, New York, 1968.
• [5] T. Maćkowiak, Continuous mappings on continua, Dissertationes Math. (Rozprawy Mat.) 158 (1979).
• [6] V. C. Nall, Maps which preserve graphs, Proc. Amer. Math. Soc. 101 (1987), 563-570.
• [7] V. C. Nall, Partially confluent maps and n-ods, Houston J. Math. 15 (1989), 409-415.