Interrelations between three concepts of terminal continua and their behaviour, when the underlying continuum is confluently mapped, are studied.
@article{116979, author = {Janusz Jerzy Charatonik}, title = {Absolutely terminal continua and confluent mappings}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {32}, year = {1991}, pages = {377-382}, zbl = {0755.54017}, mrnumber = {1137799}, language = {en}, url = {http://dml.mathdoc.fr/item/116979} }
Charatonik, Janusz Jerzy. Absolutely terminal continua and confluent mappings. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 377-382. http://gdmltest.u-ga.fr/item/116979/
Continua and their non-separating subcontinua, Dissertationes Math. (Rozprawy Mat.) 149 (1977), 1-50. (1977) | MR 0451212 | Zbl 0354.54017
Confluent mappings and unicoherence of continua, Fund. Math. 56 (1964), 213-220. (1964) | MR 0176451 | Zbl 0134.18904
Fixed point property for monotone mappings of hereditarily stratified $\lambda $-dendroids, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 26 (1968), 931-936. (1968) | MR 0242140 | Zbl 0176.20301
Terminal continua and quasi-monotone mappings, preprint. | MR 1189993 | Zbl 0780.54031
Decomposable chainable continua, Trans. Amer. Math. Soc. 123 (1966), 460-468. (1966) | MR 0196720 | Zbl 0139.40701
Terminal subcontinua of hereditarily unicoherent continua, Pacific J. Math. 47 (1973), 457-464. (1973) | MR 0362268 | Zbl 0262.54032
The hereditary classes of mappings, Fund. Math. 97 (1976), 123-150. (1976) | MR 0644150
Continuous mappings on continua, Dissertationes Math. (Rozprawy Mat.) 158 (1979), 1-95. (1979) | MR 0522934
Hyperspaces of sets, Dekker, 1978. | MR 0500811 | Zbl 1125.54001
Analytic topology, Amer. Math. Soc. Colloq. Publ., vol. 28, Providence, 1942. | MR 0007095 | Zbl 0117.15804