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Borel extensions of Baire measures

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Aldaz J. M.

Fundamenta Mathematicae

1997

tom 154

nr 3

275-293

We show that in a countably metacompact space, if a Baire measure admits a Borel extension, then it admits a regular Borel extension. We also prove that under the special axiom ♣ there is a Dowker space which is quasi-Mařík but not Mařík, answering a question of H. Ohta and K. Tamano, and under P(c), that there is a Mařík Dowker space, answering a question of W. Adamski. We answer further questions of H. Ohta and K. Tamano by showing that the union of a Mařík space and a compact space is Mařík, that under "c is real-valued measurable", a Baire subset of a Mařík space need not be Mařík, and finally, that the preimage of a Mařík space under an open perfect map is Mařík.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Aldaz J. M.

1 1997

Wyniki wyszukiwania

Borel extensions of Baire measures