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arXiv · 1511.04979

Measures on Suslinean spaces

Piotr Borodulin-Nadzieja·Grzegorz Plebanek
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Abstract

We study the existence of non-separable 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 non-separable compact space supporting a measure which has countable $π$-character and which cannot be mapped continuously onto $[0,1]^{ω_1}$. On the other hand, we prove that in the random model there is no non-separable compact space having countable $π$-character and supporting a measure.

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BibTeXRIS

Piotr Borodulin-Nadzieja, Grzegorz Plebanek. 2015-11-16. Measures on Suslinean spaces. https://arxiv.org/abs/1511.04979

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