Intervals of Totally Bounded Group Topologies

Annals of the New York Academy of Sciences

Volumn 806, Issue , 1996, Pages 121-129

  Comfort, W W ^a   Remus, Dieter ^b  

^a WESLEYAN UNIVERSITY   (United States)

^b LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Group topology; totally bounded group topology; Local weight; weil completion; Precompact group topology; weight; Topological group

Indexed keywords

EID: 3142587242     PISSN: 00778923     EISSN: None     Source Type: Book Series    
DOI: 10.1111/j.1749-6632.1996.tb49163.x     Document Type: Article

References (20)

1. BERARDUCCI, A., D. DIKRANJAN, M. FORTI, & S. WATSON. 1996. Cardinal invariants and independence results in the poset of precompact group topologies. J. Pure and Applied Algebra. To appear.
2. BERHANU, S., W.W. COMFORT, & J.D. REID. 1985. Counting subgroups and topological group topologies. Pacific J. Math. 116: 217-241.
3. COMFORT, W.W. 1984. Topological groups. In: Handbook of Set-theoretic Topology (Kenneth Kunen & Jerry E. Vaughan, Eds.). North-Holland, Amsterdam, pp.1143-1263.
4. COMFORT, W.W, K.-H. HOFMANN, & D. REMUS. 1992. Topological groups and semigroups. In: Recent Progress in General Topology (M. Hušek & J. van Mill, Eds.). Elsevier Science Publishers B.V. Amsterdam. 57-144.
5. COMFORT, W.W, & D. REMUS. 1991. Long chains of Hausdorff topological group topologies. J. Pure & Appl. Algebra. 70: 53-72.
6. COMFORT, W.W, & D. REMUS. 1996. Long chains of group topologies: A continuation. 1995. Topology and Its Applications. To appear.
7. DIKRANJAN, D. 1993. On the poset of precompact group topologies. In: Mathematica Societas János Bolyai Studies 4 (Topology with Applications). Szekszárd. Hungary. 135-149.
8. DIKRANJAN, D. 1995. The lattice of compact representations of an infinite group. In: Groups '93, Proc. Galway/St.Andrews Conference (Cambridge) (C.M. Campbell et al., Eds.). Cambridge University Press. Cambridge. 138-155.
9. ENGELKING, R. 1989. General Topology, Heldermann Verlag. Berlin.
10. HEWITT, E. & K. A. ROSS. 1963. Abstract Harmonic Analysis, Vol. I. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Vol. 115. Springer-Verlag, Berlin-Göttingen-Heidelberg.
11. HEWITT, E. & K. A. ROSS. 1970. Abstract Harmonic Analysis, Vol. II. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Vol.152. Springer-Verlag, Berlin-Heidelberg-New York.
12. KELLEY, J.L. 1955. General Topology. D. Van Nostrand Co. New York.
13. PEŁCZYŃSKI, A. 1958. Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions. Dissertationes Math. 58: 89 pages. Rozprawy Mat. Polish Scientific Publishers, Warszawa.
14. REMUS, D. 1983. Zur Struktur des Verbandes der Gruppentopologien. Doctoral Dissertation, Universität Hannover, Hannover, Germany. [English summary: 1983. Resultate Math. 6: 151-152].
15. REMUS, D. 1983. Zur Struktur des Verbandes der Gruppentopologien. Doctoral Dissertation, Universität Hannover, Hannover, Germany. [English summary: 1983. Resultate Math. 6: 151-152].
16. REMUS, D. 1991. Minimal and precompact group topologies on free groups. J. Pure & Appl. Algebra.70: 147-157.
17. REMUS, D. 1995. Anzahlbestimmungen von gewissen präkompakten bzw. nichtpräkompakten hausdorffschen Gruppentopologien. Habilitationsschrift. Universität Hanover, Hanover, Germany.
18. W(G). In: Papers on General Topology and Applications, "Annals of the New York Academy of Sciences." (Susan Andima, Gerald Itzkowitz, T. Yung Kong, R. Kopperman, P.R. Misra, L. Narici, & A. Todd, Eds.). 728: pp. 276-283. Proc. June, 1992 Queens College Summer Conference on General Topology and Applications. New York.
19. WEIL, A. 1938. Sur les Espaces à Structure Uniforme et Sur la Topologie Générale. Publ. Math. Univ. Strasbourg. Hermann & Cie. Paris. .
20. WILLARD, S. 1970. General Topology. Addison-Wesley Publishing Co. Reading, Massachusetts.