Geodesic
Embedding Uncountably Many Mutually Exclusive Continua into Euclidean Space
Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 207-214

Voir la notice de l'article provenant de la source Cambridge University Press

Uncountable collections of continua of dimension m embeddable in En are investigated, where the difference between m and n is not restricted to one. Collections of isometric copies of continua equivalent to Menger universal continua and collections of continua analogous to G. S. Young's Tn -sets are the main considerations.
DOI : 10.4153/CMB-1989-031-1
Mots-clés : 57N35, 57N12, 57N13, 57N15 
Baker, B. J.; Laidacker, Michael. Embedding Uncountably Many Mutually Exclusive Continua into Euclidean Space. Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 207-214. doi: 10.4153/CMB-1989-031-1
@article{10_4153_CMB_1989_031_1,
     author = {Baker, B. J. and Laidacker, Michael},
     title = {Embedding {Uncountably} {Many} {Mutually} {Exclusive} {Continua} into {Euclidean} {Space}},
     journal = {Canadian mathematical bulletin},
     pages = {207--214},
     year = {1989},
     volume = {32},
     number = {2},
     doi = {10.4153/CMB-1989-031-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-031-1/}
}
TY  - JOUR
AU  - Baker, B. J.
AU  - Laidacker, Michael
TI  - Embedding Uncountably Many Mutually Exclusive Continua into Euclidean Space
JO  - Canadian mathematical bulletin
PY  - 1989
SP  - 207
EP  - 214
VL  - 32
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-031-1/
DO  - 10.4153/CMB-1989-031-1
ID  - 10_4153_CMB_1989_031_1
ER  - 
%0 Journal Article
%A Baker, B. J.
%A Laidacker, Michael
%T Embedding Uncountably Many Mutually Exclusive Continua into Euclidean Space
%J Canadian mathematical bulletin
%D 1989
%P 207-214
%V 32
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-031-1/
%R 10.4153/CMB-1989-031-1
%F 10_4153_CMB_1989_031_1

[1] 1. Bestvina, Mladen, Characterizing k-dimensional universal Menger compacta, Bull. Amer. Math. Soc, 11(1984), 369–370. Google Scholar

[2] 2. Bothe, H. G., Ein eindimensionales Kompactum im E3, das sich nicht lagetreau in die Mengersche Universalkurve einbetten lafit, Fund. Math., 54 (1964), 251-258. Google Scholar

[3] 3. Bothe, H. G., Universalmengen bezuglich der Lage im En, Fund. Math., 56 (1964), 203-212. Google Scholar

[4] 4. Kuratowski, K., Topology, Vol. 1, Academic Press, New York, 1966. Google Scholar

[5] 5. Moore, R. L., Concerning triods in the plane and the junction points of plane continua, Proc. Nat. Acad. Sci., 14 (1928), 85-88. Google Scholar

[6] 6. Stan, M. A.'ko, Approximations of imbeddings of compacta in codimensions greater than two, Soviet Math. Dokl., 12 (1971), 906-909. Google Scholar

[7] 7. Young, G. S., Jr., A generalization of Moore's Theorem on simple triods, Bull. Amer. Math. Soc, 50 (1944), 714. Google Scholar

Cité par Sources :