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The sequential topology on complete Boolean algebras

100%

Główczyński W., Balcar B., Jech T. J.

Fundamenta Mathematicae

1998

tom 155

nr 1

59-78

We investigate the sequential topology $τ_{s}$ on a complete Boolean algebra B determined by algebraically convergent sequences in B. We show the role of weak distributivity of B in separation axioms for the sequential topology. The main result is that a necessary and sufficient condition for B to carry a strictly positive Maharam submeasure is that B is ccc and that the space $(B,τ_{s})$ is Hausdorff. We also characterize sequential cardinals.

Properties of the gimel function and a classification of singular cardinals

98%

Jech T. J.

Fundamenta Mathematicae

1973-1974

tom 81

nr 1

57-64

Variants of the axiom of choice in set theory with atoms

87%

Felgner U., Jech T. J.

Fundamenta Mathematicae

1973

tom 79

nr 1

79-85

Ograniczanie wyników

3 Fundamenta Mathematicae

3 Jech T. J.

1 Balcar B.

1 Felgner U.

1 Główczyński W.

1 1998

2 1973

Wyniki wyszukiwania

The sequential topology on complete Boolean algebras

Properties of the gimel function and a classification of singular cardinals

Variants of the axiom of choice in set theory with atoms