A nonmetric indecomposable homogeneous continuum every proper subcontinuum of which is an arc
HTML articles powered by AMS MathViewer
- by Andrzej Gutek and Charles L. Hagopian PDF
- Proc. Amer. Math. Soc. 86 (1982), 169-172 Request permission
Abstract:
We construct a nonmetric indecomposable homogeneous continuum with the property that each of its proper subcontinua is an arc.References
- Haskell Cohen, A cohomological definition of dimension for locally compact Hausdorff spaces, Duke Math. J. 21 (1954), 209–224. MR 66637
- G. R. Gordh Jr., On homogeneous hereditarily unicoherent continua, Proc. Amer. Math. Soc. 51 (1975), 198–202. MR 375254, DOI 10.1090/S0002-9939-1975-0375254-6
- A. Gutek, A generalization of solenoids, Topology, Vol. II (Proc. Fourth Colloq., Budapest, 1978) Colloq. Math. Soc. János Bolyai, vol. 23, North-Holland, Amsterdam-New York, 1980, pp. 547–554. MR 588803 —, Ph. D. Thesis, Uniwersytet Slaski, 1981.
- Charles L. Hagopian, A characterization of solenoids, Pacific J. Math. 68 (1977), no. 2, 425–435. MR 458381
- Anne Lester Hudson and Paul S. Mostert, A finite dimensional homogeneous clan is a group, Ann. of Math. (2) 78 (1963), 41–46. MR 150237, DOI 10.2307/1970501
- J. D. Newburgh, Metrization of finite dimensional groups, Duke Math. J. 20 (1953), 287–293. MR 54614
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 169-172
- MSC: Primary 54F20; Secondary 54F15, 54F50, 54G15, 54G20
- DOI: https://doi.org/10.1090/S0002-9939-1982-0663890-2
- MathSciNet review: 663890