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Article

Title: Neighborhoods of the identity of the free abelian topological groups (English)
Author: Marxen, Donald
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 26
Issue: 3
Year: 1976
Pages: 247-256
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Category: math
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MSC: 22A05
MSC: 54D15
idZBL: Zbl 0345.22001
idMR: MR0432802
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Date available: 2009-09-25T08:44:28Z
Last updated: 2012-07-31
Stable URL: http://hdl.handle.net/10338.dmlcz/130548
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Reference: [1] ABELS H.: Normen auf freien topologischen gruppen.Math. Z. 129, 1972, 25-42. Zbl 0232.22005, MR 0315040
Reference: [2] CLIFFORD A. H., PRESTON G. B.: Algebraic theory of Semigroups. I.Amer. Math. Soc, Providence 1961. MR 0132791
Reference: [3] DUDLEY R. M.: Continuity of homomorphisms.Duke Math. J., 28, 1961, 587-594. Zbl 0103.01702, MR 0136676
Reference: [4] GILLMAN L., JERISON M.: Rings of Continuous Functions.Van Nostгand, Princeton 1960. Zbl 0093.30001, MR 0116199
Reference: [5] GRAEV M. I.: Free topological groups.Izv. Akad. Nauk. SSSR Ser. Mat. 12, 1948, 279-324 (Russian), English translation, Amer. Math. Soc, Transl. 35, 1951. Reprint, Amer. Math. Soc. Transl. 1, 8, 1962, 305-364. MR 0025474
Reference: [6] ISBELL J. R.: Uniform Spaces.Amer. Math. Soc, Providence 1964. Zbl 0124.15601, MR 0170323
Reference: [7] KELLEY J.: General Topology.Van Nostrand, Princeton 1955. Zbl 0066.16604, MR 0070144
Reference: [8] MARKOV A. A.: On free topological groups.C. R. (Doklady) Acad. Sci. URSS (N. S.) 31, 1941, 299-301. Bull. Acad. Sci. URSS Ser. Math. (Izv. Akad. Nauk. SSR) 9, 1945, 3-64. (Russian, English summary). English transl. Amer. Math. Soc. Transl. 30, 1950, 11-88. Reprint, Amer. Math. Soc Transl. 1, 8, 1962, 195-272. MR 0004634
Reference: [9] MARXEN D.: Uniform semigroups.Math. Ann., 202, 1973, 27-36. Zbl 0234.22003, MR 0447459
Reference: [10] MARXEN D.: Free uniform semigroups and free uniform groups.(to appear). Zbl 0327.22005, MR 0399310
Reference: [11] MORRIS S. A., THOMPSON H. B.: Invariant metrics on free topological groups.Bull. Aust. Math. Soc, 9, 1973, 83-88. Zbl 0255.22002, MR 0323943
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