Literatur
Bourbaki, N.: Topologie générale. Eléments de Math., Actual. sci. ind858 (1940)=1142 (1952).
Clifford, A. H.: Connected ordered topological semigroups with idempotent endpoints. Trans. Amer. Math. Soc.88, 80–98 (1958).
Dlab, V.: Eine Bemerkung zur Theorie dividierbarer abelscher Gruppen. Czechosl. math. J.8 (83), Nr. 7, 54–60 (1957).
Cohen, H., andL. I. Wade: Clans with zero on an interval. Trans. Amer. Math. Soc.88, 523–533 (1958).
Ellis, R.: A note on the continuity of the inverse. Proc. Amer. Math. Soc. 8, 372–373 (1957).
Faucett, W. C.: Compact semigroups irreducibly connected between two idempotents. Proc. Amer. Math. Soc.6, 741–747 (1958).
Fuchs, L.: Abelian groups. Hung. Acad. of Sciences, Budapest 1958.
Ganea, T.: Zur Charakterisierung einparametriger topologischer Gruppen. Com. Acad. R. P. Române1, 731–732 (1951).
Gleason, A. M.: Groups without small subgroups. Ann. of Math.56, 193–212 (1952).
Gluskov, V. M.: Lie Algebren lokal bikompakter Gruppen. Uspehi Mat. Nauk (N. S.)12, No. 2 (77), 137–142 (1957).
Hewitt, E.: Compact monothetic semigroups. Duke Math. J.23, 447–457 (1956).
Hille, E., andR. S. Phillips: Functional Analysis and semigroups. Amer. Math. Soc. Coll. Publ., Vol. XXXI, 1957 (2. Aufl.).
Hofmann, K. H.: Topologische Loops mit schwachen Assoziativitätsforderungen. Math. Z.70, 125–155 (1958).
Hofmann, K. H.: Topologische Doppelloops. Math. Z.70, 213–230 (1958).
Hofmann, K. H.: Topologische Doppelloops und topologische Halbgruppen. Math. Ann.138, 239–258 (1959).
Koch, R. J.: On monothetic semigroups. Proc. Amer. Math. Soc.8, 397–401 (1957).
Koch, R. J.: Arcs in partially ordered spaces. Pac. J. Math.9, 723–728 (1959).
Malcev, A. I.: Analytische Loops. Mat. Sbornik, N. S.36 (77), 3–20 (1954).
Montgomery, D., andL. Zippin: Topological transformation groups. Intersc. Tracts in Pure and Applied Math. 1 (1956).
Mostert, P. S., andA. L. Shields: On the structure of semigroups on a compact manifold with boundary. Ann. of Math.5, 117–143 (1957).
Mostert, P. S., andA. L. Shields: Semigroups with identity on a manifold. Trans. Amer. Math. Soc.91, 380–389 (1959).
Obreanu, F.: Topologies compatibles avec le groupe additif de la droite réelle. Com. Acad. R. P. Române1, 557–558 (1951).
Wallace, A. D.: The structure of topological semigroups. Bull. Amer. Math. Soc.61, 95–112 (1955).
Wallace, A. D.: One dimensional homogenous clans are groups. Proc. Nederl. Acad. Wet., Ser. A58, 576–580 (1958).
Weil, A.: L'intégration dans les groupes topologiques. Actual. sci. ind.869 (1940)=1145 (1951).
Wright, F. B.: Semigroups in compact groups. Proc. Amer. Math. Soc.7, 309–311 (1956).
Wright, F. B.: A note on one-parameter and monothetic groups. J. Math. Soc. Japan9, 228–233 (1957).
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HerrnErich Kamke zum 70. Geburtstag am 18. August 1960 gewidmet
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Heinrich Hofmann, K. Topologische Halbgruppen mit dichter submonogener Unterhalbgruppe. Math Z 74, 232–277 (1960). https://doi.org/10.1007/BF01180486
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DOI: https://doi.org/10.1007/BF01180486