Geodesic
Embedding Circle-Like Continua in E3
Canadian journal of mathematics, Tome 25 (1973) no. 4, pp. 791-805

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

A space X is locally planar if each point of X has a neighborhood which is embeddable in the plane. If X is a closed, locally planar subset of E 3, we will say that X is locally tame if each point of X has a neighborhood in X which lies on a tame disk in E 3; if every cell-like subset of X has such a neighborhood, we say that X is strongly locally tame. 
Ball, B. J.; Sher, R. B. Embedding Circle-Like Continua in E3. Canadian journal of mathematics, Tome 25 (1973) no. 4, pp. 791-805. doi: 10.4153/CJM-1973-081-4
@article{10_4153_CJM_1973_081_4,
     author = {Ball, B. J. and Sher, R. B.},
     title = {Embedding {Circle-Like} {Continua} in {E3}},
     journal = {Canadian journal of mathematics},
     pages = {791--805},
     year = {1973},
     volume = {25},
     number = {4},
     doi = {10.4153/CJM-1973-081-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-081-4/}
}
TY  - JOUR
AU  - Ball, B. J.
AU  - Sher, R. B.
TI  - Embedding Circle-Like Continua in E3
JO  - Canadian journal of mathematics
PY  - 1973
SP  - 791
EP  - 805
VL  - 25
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-081-4/
DO  - 10.4153/CJM-1973-081-4
ID  - 10_4153_CJM_1973_081_4
ER  - 
%0 Journal Article
%A Ball, B. J.
%A Sher, R. B.
%T Embedding Circle-Like Continua in E3
%J Canadian journal of mathematics
%D 1973
%P 791-805
%V 25
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-081-4/
%R 10.4153/CJM-1973-081-4
%F 10_4153_CJM_1973_081_4

[1] 1. Ball, B. J. and Sher, R. B., Extending cell-like maps on manifolds (to appear in Trans. Amer. Math. Soc). Google Scholar

[2] 2. Bennet, Ralph and Transue, W. R. R., On embedding cones over circularly chainable continua, Proc. Amer. Math. Soc. 21 (1969), 275–276. Google Scholar

[3] 3. Bing, R. H., Concerning hereditarily indecomposable continua, Pacific J. Math. 1 (1951), 43–51. Google Scholar

[4] 4. Bing, R. H., A simple closed curve that pierces no disk, J. Math. Pures Appl. 35 (1956), 337–343. Google Scholar

[5] 5. Bing, R. H., Upper semicontinuous decompositions of E3, Ann. of Math. 65 (1957), 363–374. Google Scholar

[6] 6. Bing, R. H., Embedding circle-like continua in the plane, Can. J. Math. 14 (1962), 113–128. Google Scholar

[7] 7. Borsuk, Karol, Concerning homotopy properties of compacta. Fund. Math. 62 (1968), 223–254. Google Scholar

[8] 8. Borsuk, Karol, Concerning the notion of the shape of compacta, Proc. Inter. Symposium on Topology and its Applications, pp. 98–104, Beograd, 1969. Google Scholar

[9] 9. Karol, Borsuk, On movable compacta, Fund. Math. 66 (1969), 137–146. Google Scholar

[10] 10. Burgess, C. E. and Cannon, J. W., Embeddings of surfaces in E3, Rocky Mountain J. Math. 1 (1971) 259–344. Google Scholar

[11] 11. Fearnley, Lawrence, The pseudo-circle is unique, Trans. Amer. Math. Soc. 149 (1970), 45–63. Google Scholar

[12] 12. Fox, Ralph H. and Artin, Emil, Some wild cells and spheres in three-dimensional space, Ann. of Math. 49 (1948), 979–990. Google Scholar

[13] 13. George, Henderson W., On the hyper space of subcontinua of an arc-like continuum, Proc. Amer. Math. Soc. 27 (1971), 416–417. Google Scholar

[14] 14. Ingram, W. T., Concerning nonplanar circle-like continua, Can. J. Math. 19 (1967), 242–250. Google Scholar

[15] 15. Isbell, J. R., Embeddings of inverse limits, Ann. of Math. 70 (1959), 73–84. Google Scholar

[16] 16. Kelley, J. L., Hyperspaces of a continuum, Trans. Amer. Math. Soc. 52 (1942), 22–36. Google Scholar

[17] 17. Lacher, R. C., Cell-like mappings, I, Pacific J. Math. 30 (1969), 717–731. Google Scholar

[18] 18. Marešić, Sibe and Jack, Segal, Shapes of compacta and ANR systems, Fund. Math. 72 (1971), 41–59. Google Scholar

[19] 19. Rogers, James T., Jr., Embedding the hyperspaces of circle-like plane continua, Proc. Amer. Math. Soc. 29 (1971), 165–168. Google Scholar

[20] 20. Segal, Jack, Hyperspaces of the inverse limit space, Proc. Amer. Math. Soc. 10 (1959), 706–709. Google Scholar

[21] 21. Sher, R. B., Realizing cell-like maps in Euclidean space, General Topology and Appl. 2 (1972), 75–89. Google Scholar

[22] 22. Transue, W. R. R., On the hyperspace of subcontinua of the pseudoarc, Proc. Amer. Math. Soc. 18 (1967), 1074–1075. Google Scholar

[23] 23. Whitney, H., Regular families of curves, Ann. of Math. 34 (1933), 244–270. Google Scholar

Cité par Sources :