On a 1-Dimensional Planar Continuum without the Fixed Point Property
Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1300-1303

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

In [5 ; 6] the author considers the following two problems posed by Professor Lloyd Tucker. Problem 1. Does there exist a 1-dimensional continuum X without the fixed point property such that every retract of X has the fixed point property with respect to one-to-one maps?
Martin, John R. On a 1-Dimensional Planar Continuum without the Fixed Point Property. Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1300-1303. doi: 10.4153/CJM-1977-130-6
@article{10_4153_CJM_1977_130_6,
     author = {Martin, John R.},
     title = {On a {1-Dimensional} {Planar} {Continuum} without the {Fixed} {Point} {Property}},
     journal = {Canadian journal of mathematics},
     pages = {1300--1303},
     year = {1977},
     volume = {29},
     number = {6},
     doi = {10.4153/CJM-1977-130-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-130-6/}
}
TY  - JOUR
AU  - Martin, John R.
TI  - On a 1-Dimensional Planar Continuum without the Fixed Point Property
JO  - Canadian journal of mathematics
PY  - 1977
SP  - 1300
EP  - 1303
VL  - 29
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-130-6/
DO  - 10.4153/CJM-1977-130-6
ID  - 10_4153_CJM_1977_130_6
ER  - 
%0 Journal Article
%A Martin, John R.
%T On a 1-Dimensional Planar Continuum without the Fixed Point Property
%J Canadian journal of mathematics
%D 1977
%P 1300-1303
%V 29
%N 6
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-130-6/
%R 10.4153/CJM-1977-130-6
%F 10_4153_CJM_1977_130_6

[1] 1. Bing, R. H., The elusive fixed point property, Amer. Math. Monthly 76 (1969), 119–131. Google Scholar

[2] 2. Borsuk, K., Theory of retracts (Warszawa 1967). Google Scholar

[3] 3. Hu, S. T., Homotopy theory (Academic Press, New York, 1959). Google Scholar

[4] 4. Hurewicz, W. and Wallman, H., Dimension theory (Princeton Univ. Press, Princeton 1941). Google Scholar

[5] 5. Martin, J. R., On 1-dimensional continua without the fixed point property, Colloq. Math. 31 (1974), 203–205. Google Scholar

[6] 6. Martin, J. R. On a simply connected 1-dimensional continuum without the fixed point property, Fund. Math. 91 (1976), 179–182. Google Scholar

[7] 7. Mohler, L., The fixed point property for homeomorphisms of 1-arcwise connected continua, Proc. Amer. Math. Soc. 52 (1975), 451–456. Google Scholar

[8] 8. Young, G. S., Fixed point theorems for arcwise connected continua, Proc. Amer. Math. Soc. 11 (1960), 880–884. Google Scholar

Cité par Sources :