Examples of sequential topological groups under the continuum hypothesis

• Autorzy: Alexander Shibakov
• Języki publikacji: EN

Abstrakty

EN

Using CH we construct examples of sequential topological groups: 1. a pair of countable Fréchet topological groups whose product is sequential but is not Fréchet, 2. a countable Fréchet and $α_1$ topological group which contains no copy of the rationals.

Słowa kluczowe

EN

topological group; sequential space; Fréchet space

Kategorie tematyczne

• 54A20: Convergence in general topology (sequences, filters, limits, convergence spaces, etc.)
• 54D55: Sequential spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1996
• Tom: 151
• Numer: 2
• Strony: 107-120

Daty

wydano

1996

otrzymano

1995-05-03

poprawiono

1996-05-31

Twórcy

autor

Alexander Shibakov

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

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