Huber, Martin; Meier, Willi Linearly compact groups. (English) Zbl 0432.22001 J. Pure Appl. Algebra 16, 167-182 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 22A05 Structure of general topological groups 20E18 Limits, profinite groups 20F19 Generalizations of solvable and nilpotent groups 20F38 Other groups related to topology or analysis 55P60 Localization and completion in homotopy theory 18B99 Special categories Keywords:linearly compact C-group; C-topology; HR-local group; R-nilpotent group; limit functor; descending chain condition Citations:Zbl 0238.18007; Zbl 0186.329; Zbl 0364.20058 PDFBibTeX XMLCite \textit{M. Huber} and \textit{W. Meier}, J. Pure Appl. Algebra 16, 167--182 (1980; Zbl 0432.22001) Full Text: DOI References: [1] Baer, R., Nil-Gruppen, Math. Z., 62, 402-437 (1955) [2] Bergman, G., Response to Query 82, Notices Amer. Math. Soc., 80 (Jan. 1976) [3] Bousfield, A., The core of a ring, J. Pure and Appl. Algebra, 2, 73-81 (1972) · Zbl 0233.55004 [4] Bousfield, A., The localization of spaces with respect to homology, Topology, 14, 133-150 (1975) · Zbl 0309.55013 [5] Bousfield, A., Homological localization towers for groups and π-modules, Memoirs Amer. Math. Soc., 10 (1977), Nr. 186 · Zbl 0364.20058 [6] Bousfield, A.; Kan, D., Homotopy Limits, Completions, and Localizations, Lecture Notes in Math., 304 (1972), Springer-Verlag: Springer-Verlag Berlin · Zbl 0259.55004 [7] Fuchs, L., Note on linearly compact abelian groups, J. Austral. Math. Soc., 9, 433-440 (1969) · Zbl 0186.32902 [8] Hall, M., A topology for free groups and related groups, Ann. Math., 52, 127-139 (1950) · Zbl 0045.31204 [9] Jensen, C., Les Foncteurs Dérivés de \(lim\) et leurs Applications en Théorie des Modules, Lecture Notes in Math., 254 (1972), Springer-Verlag: Springer-Verlag Berlin · Zbl 0238.18007 [10] Köthe, G., Topological Vector Spaces I (1969), Springer-Verlag: Springer-Verlag Berlin-Heidelberg-New York [11] Lefschetz, S., Algebraic Toplogy, Amer. Math. Soc. Colloq. Publ., Vol. XXVII (1942), New York [12] Macdonald, I., Duality over complete local rings, Topology, 1, 213-235 (1962) · Zbl 0108.26401 [13] Meier, W., Localisation, complétion, et applications fantômes, C.R. Acad. Sc. Paris Série A, 281, 787-789 (1975) · Zbl 0319.55021 [14] Meier, W., Pullback theorems and phantom maps, Quart. J. Math. Oxford, 29, 2, 469-481 (1978) · Zbl 0398.55014 [15] Steiner, R., Localization, completion and infinite complexes, Mathematika, 24, 1-15 (1977) · Zbl 0348.55006 [16] Sullivan, D., Genetics of homotopy theory and the Adams conjecture, Ann. Math., 100, 1-79 (1974) · Zbl 0355.57007 [17] Warfield, R., Nilpotent Groups, Lecture Notes in Math., 513 (1976), Springer-Verlag: Springer-Verlag Berlin · Zbl 0347.20018 [18] Yosimura, Z., On cohomology theories of infinite CW-complexes I, (Publ. Res. Inst. Math. Sci., 8 (1972/3), Kyoto Univ), 295-310 · Zbl 0268.55003 [19] Zelinsky, D., Linearly compact modules and rings, Amer. J. Math., 75, 79-90 (1953) · Zbl 0050.10802 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.