Geodesic
Absolute end points of irreducible continua
Mathematica Bohemica, Tome 118 (1993) no. 1, pp. 19-28

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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.
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.
DOI : 10.21136/MB.1993.126017
Classification : 54F15, 54F50
Keywords: bend set; pairwise smooth continuum; contractible continuum; curve; dendroid; fan; homotopy; pointwise smooth continuum; $Q$-point; selectible continuum; absolute end point; arc-like; decomposition; irreducible; locally connected; smoth 
Charatonik, Janusz J. Absolute end points of irreducible continua. Mathematica Bohemica, Tome 118 (1993) no. 1, pp. 19-28. doi: 10.21136/MB.1993.126017
@article{10_21136_MB_1993_126017,
     author = {Charatonik, Janusz J.},
     title = {Absolute end points of irreducible continua},
     journal = {Mathematica Bohemica},
     pages = {19--28},
     year = {1993},
     volume = {118},
     number = {1},
     doi = {10.21136/MB.1993.126017},
     mrnumber = {1213829},
     zbl = {0795.54047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.126017/}
}
TY  - JOUR
AU  - Charatonik, Janusz J.
TI  - Absolute end points of irreducible continua
JO  - Mathematica Bohemica
PY  - 1993
SP  - 19
EP  - 28
VL  - 118
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.126017/
DO  - 10.21136/MB.1993.126017
LA  - en
ID  - 10_21136_MB_1993_126017
ER  - 
%0 Journal Article
%A Charatonik, Janusz J.
%T Absolute end points of irreducible continua
%J Mathematica Bohemica
%D 1993
%P 19-28
%V 118
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.126017/
%R 10.21136/MB.1993.126017
%G en
%F 10_21136_MB_1993_126017

[1] R. H. Bing: Concerning hereditarily indecomposable continua. Pacific J. Math 1 (1951), 43-51. | DOI | MR | Zbl

[2] R. H. Bing: Snake-like continua. Duke Math. J. 18 (1951), 653-663. | DOI | MR | Zbl

[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

[4] J. J. Charatonik, T. Maćkowiak: Continua with a dense set of end points. Rocky Mountain J. Math. 17 (1987), 385-391. | DOI | MR

[5] G. R. Gordh, Jr.: On decomposition of smooth continua. Fund. Math. 75(1972), 51-60. | DOI | MR

[6] G. R. Gordh, Jr.: Concerning closed quasi-orders on hereditarily unicoherent continua. Fund. Math. 78 (1973), 61-73. | DOI | MR | Zbl

[7] K. Kuratowski: Topology, vol. II. Academic Press and PWN, 1968. | DOI | MR

[8] T. Maćkowiak: On smooth continua. Fund. Math. 85 (1974), 79-95. | DOI | MR

[9] I. Rosenholtz: Absolute endpoints of chainable continua. Proc. Amer. Math. Soc. 108 (1988), 1305-1314. | DOI | MR | Zbl

[10] E. S. Thomas, Jr.: Monotone decomposition of irreducible continua. Dissertationes Math. (Rozprawy Mat.) 50 (1966), 1-74. | MR

Cité par Sources :