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Abstrakty
The existence of an open mapping from a compactification of a ray onto the closed unit interval [0, 1] is investigated. The main theorem says that such an open mapping does exist if and only if there is a confluent mapping of the remainder onto [0, 1].
Słowa kluczowe
Wydawca
Rocznik
Tom
Strony
11--20
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
autor
- Mathematical Institute, University of Wrocław, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
- Instituto de Matemáticas, Unam, Circuito Exterior, Ciudad Universitaria, 04510 México, D. F., México
autor
- Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, MO 65409-0020, U. S. A.
autor
- Department of Mathematical Analysis, Charles University, Sokolovská 83, CZ-186 75 Prague 8, Czech Republic
Bibliografia
- [1] J. M. Aarts, P. van Emde Boas, Continua as remainders in compact extensions, Nieuw Arch. Wisk., 15 (1967) 34-37.
- [2] D. E. Bennett, J. B. Fugate, Continua and their non-separating subcontinua, Dissertationes Math. (Rozprawy Mat.), 149 (1977) 1-46.
- [3] J. J. Charatonik, Confluent mappings and unicoherence of continua, Fund. Math., 56 (1964) 213-220.
- [4] J. J. Charatonik, W. J. Charatonik, P. Krupski, Dendrites and light open mappings, Proc. Amer. Math. Soc., 128 (2000) 1839-1843.
- [5] J. J. Charatonik, W. J. Charatonik, S. Miklos, P. Spyrou, On open mappings of locally connected continua onto arcs, Houston J. Math., 24 (1998) 21-43.
- [6] J. J. Charatonik, K. Omiljanowski, On light open mappings, Baku International Topological Conference Proceedings, ELM, Baku 1989, 211-219.
- [7] J. J. Charatonik, P. Pyrih, Continua with light open mappings, Questions Answers Gen. Topology, 17 (1999) 237-256.
- [8] J. J. Charatonik, P. Pyrih, Atomic mappings can spoil lightness of open mappings, Tsukuba J. Math., 24 (2000) 157-169.
- [9] W. J. Charatonik, The Lelek fan is unique, Houston J. Math., 15 (1989) 27-34.
- [10] J. B. Fugate, Decomposable chainable continua, Trans. Amer. Math. Soc., 123 (1966) 460-468.
- [11] G. R. Gordh, Jr., Terminal subcontinua in hereditarily unicoherent continua, Pacific J. Math., 47 (1973) 457-464.
- [12] K. Kuratowski, Topology, vol. 2, Academic Press and PWN, New York, London and Warszawa 1968.
- [13] T. Maćkowiak, E. D. Tymchatyn, Continuous mappings on continua II, Dissertationes Math. (Rozprawy Mat.), 225 (1984) 1-57.
- [14] W. Makuchowski, On open light mappings, Comment. Math. Univ. Carolin., 35 (1994) 779-788.
- [15] S. B. Nadler, Jr., Confluent images of the sinusoidal curve, Houston J. Math., 3 (1977) 515-519.
- [16] S. B. Nadler, Jr., Hyperspaces of sets, M. Dekker, (1978).
- [17] G. T. Whyburn, Analytic topology, Amer. Math. Soc. Colloq. Publ., 28, Providence 1942, reprinted with corrections 1971.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT2-0001-1203