| Title:
|
Absolute end points of irreducible continua (English) |
| Author:
|
Charatonik, Janusz J. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
118 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
19-28 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A concept of an absolute end point introduced and studied by Ira Rosenholtz for arc-like continua is extended in the paper to be applied arbitrary irreducible continua. Some interrelations are studied between end points, absolute end points and points at which a given irreducible continuum is smooth. (English) |
| Keyword:
|
bend set |
| Keyword:
|
pairwise smooth continuum |
| Keyword:
|
contractible continuum |
| Keyword:
|
curve |
| Keyword:
|
dendroid |
| Keyword:
|
fan |
| Keyword:
|
homotopy |
| Keyword:
|
pointwise smooth continuum |
| Keyword:
|
$Q$-point |
| Keyword:
|
selectible continuum |
| Keyword:
|
absolute end point |
| Keyword:
|
arc-like |
| Keyword:
|
decomposition |
| Keyword:
|
irreducible |
| Keyword:
|
locally connected |
| Keyword:
|
smoth |
| MSC:
|
54F15 |
| MSC:
|
54F50 |
| idZBL:
|
Zbl 0795.54047 |
| idMR:
|
MR1213829 |
| DOI:
|
10.21136/MB.1993.126017 |
| . |
| Date available:
|
2009-09-24T20:56:40Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126017 |
| . |
| Reference:
|
[1] R. H. Bing: Concerning hereditarily indecomposable continua.Pacific J. Math 1 (1951), 43-51. Zbl 0043.16803, MR 0043451, 10.2140/pjm.1951.1.43 |
| Reference:
|
[2] R. H. Bing: Snake-like continua.Duke Math. J. 18 (1951), 653-663. Zbl 0043.16804, MR 0043450, 10.1215/S0012-7094-51-01857-1 |
| Reference:
|
[3] J. J. Charatonik: On irreducible smooth continua.Topology and its Applications II. Proc. International Symposium on Topology and its Applications, Budva 1972 (Beograd 1973), 45-50. MR 0345079 |
| Reference:
|
[4] J. J. Charatonik, T. Maćkowiak: Continua with a dense set of end points.Rocky Mountain J. Math. 17 (1987), 385-391. MR 0892465, 10.1216/RMJ-1987-17-2-385 |
| Reference:
|
[5] G. R. Gordh, Jr.: On decomposition of smooth continua.Fund. Math. 75(1972), 51-60. MR 0317299, 10.4064/fm-75-1-51-60 |
| Reference:
|
[6] G. R. Gordh, Jr.: Concerning closed quasi-orders on hereditarily unicoherent continua.Fund. Math. 78 (1973), 61-73. Zbl 0253.54031, MR 0322835, 10.4064/fm-78-1-61-73 |
| Reference:
|
[7] K. Kuratowski: Topology, vol. II.Academic Press and PWN, 1968. MR 0259835, 10.1016/B978-0-12-429202-4.50011-X |
| Reference:
|
[8] T. Maćkowiak: On smooth continua.Fund. Math. 85 (1974), 79-95. MR 0365532, 10.4064/fm-85-1-79-95 |
| Reference:
|
[9] I. Rosenholtz: Absolute endpoints of chainable continua.Proc. Amer. Math. Soc. 108 (1988), 1305-1314. Zbl 0655.54024, MR 0955027, 10.1090/S0002-9939-1988-0955027-2 |
| Reference:
|
[10] E. S. Thomas, Jr.: Monotone decomposition of irreducible continua.Dissertationes Math. (Rozprawy Mat.) 50 (1966), 1-74. MR 0196721 |
| . |
