Geodesic
Borel extensions of Baire measures
Fundamenta Mathematicae, Tome 154 (1997) no. 3, pp. 275-293 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm-154-3-275-293
Keywords: Mařík, quasi-Mařík, countably metacompact, Dowker

J. M. Aldaz 1

1 
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J. M. Aldaz. Borel extensions of Baire measures. Fundamenta Mathematicae, Tome 154 (1997) no. 3, pp. 275-293. doi: 10.4064/fm-154-3-275-293

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