$\beta R$ is a topological Galois space
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- by P. L. Sharma PDF
- Proc. Amer. Math. Soc. 61 (1976), 153-154 Request permission
Abstract:
The result given in the title of this note is proved. An example of two nonhomeomorphic Hausdorff Galois spaces having isomorphic homeomorphism groups follows.References
- David P. Bellamy and Leonard R. Rubin, Indecomposable continua in Stone-Čech compactifications, Proc. Amer. Math. Soc. 39 (1973), 427–432. MR 315670, DOI 10.1090/S0002-9939-1973-0315670-X
- P. Fletcher and R. A. McCoy, Galois spaces, representable spaces and strongly locally homogeneous spaces, Fund. Math. 73 (1971/72), no. 1, 85–91. MR 293573, DOI 10.4064/fm-73-1-85-91
- P. Fletcher and R. L. Snider, Topological Galois spaces, Fund. Math. 68 (1970), 143–148. MR 266181, DOI 10.4064/fm-68-2-143-148
- J. de Groot, Groups represented by homeomorphism groups, Math. Ann. 138 (1959), 80–102. MR 119193, DOI 10.1007/BF01369667
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 61 (1976), 153-154
- MSC: Primary 54H15
- DOI: https://doi.org/10.1090/S0002-9939-1976-0425931-4
- MathSciNet review: 0425931