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Ideal-like properties of generalized microscopic sets

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Abstract

We show that not every family of generalized microscopic sets forms an ideal. Moreover, we prove that some of these families have some weaker additivity properties and some of them do not have even that.

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Correspondence to A. Kwela.

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The third author was supported by grant BW-538-5100-B860-15.

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Czudek, K., Kwela, A., Mrożek, N. et al. Ideal-like properties of generalized microscopic sets. Acta Math. Hungar. 150, 269–285 (2016). https://doi.org/10.1007/s10474-016-0659-1

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  • DOI: https://doi.org/10.1007/s10474-016-0659-1

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