Sequential topological groups of any sequential order under CH

Fundamenta Mathematicae

Volumn 155, Issue 1, 1998, Pages 79-89

  Shibakov, Alexander ^a  

^a AUBURN UNIVERSITY   (United States)

Author keywords

Sequential order; Sequential space; Topological group

Indexed keywords

EID: 0040090600     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. S. Dolecki and R. Peirone, Topological semigroups of every countable sequential order, in: Recent Developments of General Topology and its Applications, Akademie-Verlag, 1992, 80-84.
2. L. Foged, Sequential order of homogeneous and product spaces, Topology Proc. 6 (1981), 287-298.
3. E. Michael, A quintuple quotient quest, Gen. Topology Appl. 2 (1972), 91-138.
4. P. J. Nyikos, Metrizability and Fréchet-Urysohn property in topological groups, Proc. Amer. Math. Soc. 83 (1981), 793-801.
5. R. Peirone, Regular semitopological groups of every countable sequential order, Topology Appl. 58 (1994), 145-149.
6. A. Shibakov, Sequential group topology on rationals with intermediate sequential order, Proc. Amer. Math. Soc. 124 (1996), 2599-2607.
7. _, Metrizability of sequential topological groups with point-countable k-networks, Proc. Amer. Math. Soc., to appear.