Connecting locally compact abelian groups
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- by Ed Enochs and Walt Gerlach PDF
- Proc. Amer. Math. Soc. 89 (1983), 351-354 Request permission
Abstract:
Those locally compact abelian groups having connected envelopes are characterized as those $G$ such that the dimension of ${\operatorname {Hom }}(G,R)$ over $R$ is finite (where $R$ is the field of real numbers).References
- Johann Sonner, Universal and special problems, Math. Z. 82 (1963), 200–211. MR 156880, DOI 10.1007/BF01111424
- Edgar E. Enochs, Injective and flat covers, envelopes and resolvents, Israel J. Math. 39 (1981), no. 3, 189–209. MR 636889, DOI 10.1007/BF02760849
- Edgar Enochs, Torsion free covering modules, Proc. Amer. Math. Soc. 14 (1963), 884–889. MR 168617, DOI 10.1090/S0002-9939-1963-0168617-7 W. Gerlach, Connecting locally compact abelian groups, Ph. D. thesis, Univ. of Kentucky, 1980.
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 351-354
- MSC: Primary 22B05
- DOI: https://doi.org/10.1090/S0002-9939-1983-0712650-3
- MathSciNet review: 712650