| Title:
|
Absolutely terminal continua and confluent mappings (English) |
| Author:
|
Charatonik, J. J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
377-382 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Interrelations between three concepts of terminal continua and their behaviour, when the underlying continuum is confluently mapped, are studied. (English) |
| Keyword:
|
absolute |
| Keyword:
|
arclike |
| Keyword:
|
atriodic |
| Keyword:
|
confluent |
| Keyword:
|
continuum |
| Keyword:
|
hereditary |
| Keyword:
|
irreducible |
| Keyword:
|
mapping |
| Keyword:
|
quasi-monotone |
| Keyword:
|
terminal |
| MSC:
|
54C10 |
| MSC:
|
54F15 |
| MSC:
|
54F20 |
| idZBL:
|
Zbl 0755.54017 |
| idMR:
|
MR1137799 |
| . |
| Date available:
|
2009-01-08T17:45:06Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116979 |
| . |
| Reference:
|
[1] Bennett D.E., Fugate J.B.: Continua and their non-separating subcontinua.Dissertationes Math. (Rozprawy Mat.) 149 (1977), 1-50. Zbl 0354.54017, MR 0451212 |
| Reference:
|
[2] Charatonik J.J.: Confluent mappings and unicoherence of continua.Fund. Math. 56 (1964), 213-220. Zbl 0134.18904, MR 0176451 |
| Reference:
|
[3] Charatonik J.J.: Fixed point property for monotone mappings of hereditarily stratified $\lambda $-dendroids.Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 26 (1968), 931-936. Zbl 0176.20301, MR 0242140 |
| Reference:
|
[4] Charatonik J.J.: Terminal continua and quasi-monotone mappings.preprint. Zbl 0780.54031, MR 1189993 |
| Reference:
|
[5] Fugate J.B.: Decomposable chainable continua.Trans. Amer. Math. Soc. 123 (1966), 460-468. Zbl 0139.40701, MR 0196720 |
| Reference:
|
[6] Gordh G.R., Jr.: Terminal subcontinua of hereditarily unicoherent continua.Pacific J. Math. 47 (1973), 457-464. Zbl 0262.54032, MR 0362268 |
| Reference:
|
[7] Maćkowiak T.: The hereditary classes of mappings.Fund. Math. 97 (1976), 123-150. MR 0644150 |
| Reference:
|
[8] Maćkowiak T.: Continuous mappings on continua.Dissertationes Math. (Rozprawy Mat.) 158 (1979), 1-95. MR 0522934 |
| Reference:
|
[9] Nadler S.B., Jr.: Hyperspaces of sets.Dekker, 1978. Zbl 1125.54001, MR 0500811 |
| Reference:
|
[10] Whyburn G.T.: Analytic topology.Amer. Math. Soc. Colloq. Publ., vol. 28, Providence, 1942. Zbl 0117.15804, MR 0007095 |
| . |
