Sequential topological groups of any sequential order under CH

• Autorzy: Alexander Shibakov
• Języki publikacji: EN

Abstrakty

EN

For any $α < ω_1$ a countable sequential topological group of sequential order α is constructed using CH.

Słowa kluczowe

EN

sequential space; sequential order; topological group

Kategorie tematyczne

• 54D55: Sequential spaces
• 54H11: Topological groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 155
• Numer: 1
• Strony: 79-89

Daty

wydano

1998

otrzymano

1997-02-02

poprawiono

1997-05-05

Twórcy

autor

Alexander Shibakov

• Department of Mathematics, Auburn University, Auburn, Alabama 36849, U.S.A.

Bibliografia

• [DP] 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.
• [F] L. Foged, Sequential order of homogeneous and product spaces, Topology Proc. 6 (1981), 287-298.
• [M] E. Michael, A quintuple quotient quest, Gen. Topology Appl. 2 (1972), 91-138.
• [N] P. J. Nyikos, Metrizability and Fréchet-Urysohn property in topological groups, Proc. Amer. Math. Soc. 83 (1981), 793-801.
• [P] R. Peirone, Regular semitopological groups of every countable sequential order, Topology Appl. 58 (1994), 145-149.
• [S1] A. Shibakov, Sequential group topology on rationals with intermediate sequential order, Proc. Amer. Math. Soc. 124 (1996), 2599-2607.
• [S2] A. Shibakov, Metrizability of sequential topological groups with point-countable k-networks, Proc. Amer. Math. Soc., to appear.