Morris, Sidney A.; Thompson, H. B. Free topological groups with no small subgroups. (English) Zbl 0294.22001 Proc. Am. Math. Soc. 46, 431-437 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 4 Documents MSC: 22A05 Structure of general topological groups 22E99 Lie groups 20E05 Free nonabelian groups 54E35 Metric spaces, metrizability 20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations PDFBibTeX XMLCite \textit{S. A. Morris} and \textit{H. B. Thompson}, Proc. Am. Math. Soc. 46, 431--437 (1974; Zbl 0294.22001) Full Text: DOI References: [1] A. V. Arhangel\(^{\prime}\)skiĭ, Mappings connected with topological groups, Dokl. Akad. Nauk SSSR 181 (1968), 1303 – 1306 (Russian). [2] Nicolas Bourbaki, Elements of mathematics. General topology. Part 1, Hermann, Paris; Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966. Nicolas Bourbaki, Elements of mathematics. General topology. Part 2, Hermann, Paris; Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966. [3] James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. · Zbl 0144.21501 [4] Andrew M. Gleason, Groups without small subgroups, Ann. of Math. (2) 56 (1952), 193 – 212. · Zbl 0049.30105 [5] M. I. Graev, Free topological groups, Izvestiya Akad. Nauk SSSR. Ser. Mat. 12 (1948), 279 – 324 (Russian). [6] Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. I, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, Springer-Verlag, Berlin-New York, 1979. Structure of topological groups, integration theory, group representations. · Zbl 0416.43001 [7] John G. Hocking and Gail S. Young, Topology, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1961. · Zbl 0718.55001 [8] Charles Joiner, Free topological groups and dimension, Trans. Amer. Math. Soc. 220 (1976), 401 – 418. · Zbl 0331.54026 [9] Irving Kaplansky, Lie algebras and locally compact groups, The University of Chicago Press, Chicago, Ill.-London, 1971. · Zbl 0223.17001 [10] John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. · Zbl 0066.16604 [11] John Mack, Sidney A. Morris, and Edward T. Ordman, Free topological groups and the projective dimension of a locally compact abelian group, Proc. Amer. Math. Soc. 40 (1973), 303 – 308. · Zbl 0263.22001 [12] A. A. Markov, On free topological groups, Izv. Akad. Nauk SSSR Ser. Mat. 9 (1945), 3-64; English transl., Amer. Math. Soc. Transl. (1) 8 (1962), 195-272. MR 7, 7. · Zbl 0061.04210 [13] Ernest Michael, Bi-quotient maps and Cartesian products of quotient maps, Ann. Inst. Fourier (Grenoble) 18 (1968), no. fasc. 2, 287 – 302 vii (1969) (English, with French summary). · Zbl 0175.19704 [14] Deane Montgomery and Leo Zippin, Small subgroups of finite-dimensional groups, Ann. of Math. (2) 56 (1952), 213 – 241. · Zbl 0049.30106 [15] Sidney A. Morris, Quotient groups of topological groups with no small subgroups, Proc. Amer. Math. Soc. 31 (1972), 625 – 626. · Zbl 0227.22002 [16] Sidney A. Morris, Free products of Lie groups, Colloq. Math. 31 (1974), 219 – 222. · Zbl 0291.22008 [17] Sidney A. Morris, Free products of topological groups, Bull. Austral. Math. Soc. 4 (1971), 17 – 29. · Zbl 0199.34503 [18] Edward T. Ordman, Free products of topological groups which are \?_{\?}-spaces, Trans. Amer. Math. Soc. 191 (1974), 61 – 73. · Zbl 0287.22003 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.