Geodesic
Measures on Suslinean spaces
Piotr Borodulin-Nadzieja 1   ; Grzegorz Plebanek 1
1 Instytut Matematyczny Uniwersytet Wrocławski Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Fundamenta Mathematicae, Tome 235 (2016) no. 3, pp. 287-302 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study the existence of nonseparable compact spaces that support a measure and are small from the topological point of view. In particular, we show that under Martin’s Axiom there is a nonseparable compact space supporting a measure which has countable $\pi $-character and which cannot be mapped continuously onto $[0,1]^{\omega _1}$. On the other hand, we prove that in the random model there is no nonseparable compact space having countable $\pi $-character and supporting a measure.
DOI : 10.4064/fm229-3-2016
Keywords: study existence nonseparable compact spaces support measure small topological point view particular under martin axiom there nonseparable compact space supporting measure which has countable character which cannot mapped continuously omega other prove random model there nonseparable compact space having countable character supporting measure

Piotr Borodulin-Nadzieja  1   ; Grzegorz Plebanek  1

1 Instytut Matematyczny Uniwersytet Wrocławski Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
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Piotr Borodulin-Nadzieja; Grzegorz Plebanek. Measures on Suslinean spaces. Fundamenta Mathematicae, Tome 235 (2016) no. 3, pp. 287-302. doi: 10.4064/fm229-3-2016

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