Vol. 131, No. 1, 1988

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On covering of real line by null sets

Tomek Bartoszynski

Vol. 131 (1988), No. 1, 1–12
Abstract

In this note it is proved that the least cardinal κ such that R cannot be covered by κ many null sets cannot have countable cofinality, provided 2ω-scale exists and 2ω is regular cardinal. Using the same assumption a combinatorial characterisation of this cardinal is also found.

Mathematical Subject Classification 2000
Primary: 03E05
Secondary: 03E15, 26A03, 04A15
Milestones
Received: 21 November 1985
Revised: 4 February 1987
Published: 1 January 1988
Authors
Tomek Bartoszynski