Bohr topologies and compact function spaces

Topology and its Applications

Volumn 125, Issue 2, 2002, Pages 183-198

  Hart, Joan E ^a   Kunen, Kenneth ^b  

^a UNIVERSITY OF DAYTON   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Bohr topology; Eberlein compact; Semilattice; Talagrand compact

Indexed keywords

EID: 0038352024     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-8641(01)00269-3     Document Type: Article

References (29)

1. Anderson L.W. Hunter R.P. On the continuity of certain homomorphisms of compact semigroups Duke Math. J. 38 1971 409-414
2. Argyros S. Negrepontis S. On weakly K-countably determined spaces of continuous functions Proc. Amer. Math. Soc. 87 1983 731-736
3. Arkhangel'skii A.V. Topological Function Spaces Math. Appl. (Soviet Ser.) 7 1992 Kluwer Dordrecht
4. p theory in: Hušek M. van Mill J. (Eds.), Recent Progress in General Topology 1992 1-56 North-Holland Amsterdam
5. Birkhoff G. Lattice Theory 3rd Edition Amer. Math. Soc. Colloq. Publ. 25 1967
6. Comfort W.W. Compact groups: subgroups and extensions Topology, Theory and Applications (Eger, 1983) Colloq. Math. Soc. János Bolyai 41 1985 183-198 North-Holland Amsterdam
7. Comfort W.W. Remus D. Extending ring topologies J. Algebra 232 2000 21-47
8. W.W. Comfort, D. Remus, Totally bounded group topologies on profinite groups, in preparation
9. Cook H. Continua which admit only the identity mapping onto non-degenerate subcontinua Fund. Math. 60 1967 241-249
10. van Douwen E.K. The integers and topology in: Kunen K. Vaughan J. (Eds.), Handbook of Set-Theoretic Topology 1984 111-167 North-Holland Amsterdam
11. Fremlin D.H. Consequences of Martin's Axiom 1984 Cambridge Univ. Press Cambridge
12. Gierz G. Hofmann K.H. Keimel K. Lawson J.D. Mislove M.W. Scott D.S. A Compendium of Continuous Lattices 1980 Springer Berlin
13. Gulko S.P. O strukture prostranstv nepreryvnykh funktsiǐ i ikh nasledstvennoǐ parakompaknosti Uspeckhi Mat. Nauk 34 6 1979 33-40 Russian Math. Surveys 34(6) (1979) 36-44
14. Hart J.E. Kunen K. Bohr compactifications of discrete structures Fund. Math. 160 1999 101-151
15. J.E. Hart, K. Kunen, Bohr compactifications of non-abelian groups, Preprint
16. Hofmann K.H. Morris S.A. The Structure of Compact Groups 1998 de Gruyter Berlin
17. Holm P. On the Bohr compactification Math. Ann. 156 1964 34-46
18. Kunen K. Rudin W. Lacunarity and the Bohr topology Math. Proc. Cambridge Philos. Soc. 126 1999 117-137
19. Lawson J.D. Lattices with no interval homomorphisms Pacific J. Math. 32 1970 459-465
20. Lawson J.D. Intrinsic topologies in topological lattices and semilattices Pacific J. Math. 44 1973 593-602
21. Mercourakis S. On weakly countably determined Banach spaces Trans. Amer. Math. Soc. 300 1987 307-327
22. Moran W. On almost periodic compactifications of locally compact groups J. London Math. Soc. (2) 3 1971 507-512
23. Okunev O.G. On Lindelöf Σ-spaces of continuous functions in the pointwise topology Topology Appl. 49 1993 149-166
24. Pultr A. Trnková V. Combinatorial, Algebraic and Topological Representations of Groups, Semigroups and Categories 1980 North-Holland Amsterdam
25. Rogers C.A. Jayne J.E. K-analytic sets in: Rogers C.A. et-al (Eds.), Analytic Sets 1980 1 179 Academic Press New York
26. Talagrand M. Espace de Banach faiblement K-analitiques Ann. of Math. 110 1979 407-438
27. Talagrand M. A new countably determined Banach space Israel J. Math. 47 1984 75-80
28. Ursul M.I. Strengthening of the topologies of countably compact rings Mat. Issled. 118 1990 126-136 (in Russian)
29. van der Waerden B.L. Stetigkeitssätze für halbeinfache Liesche Gruppen Math. Z. 36 1933 780-786