Goldstern's principle of the Lebesgue measure and Hausdorff measures

Prelegent(ci)

Tatsuya Goto

Afiliacja

Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien

Język referatu

angielski

Termin

13 listopada 2026 16:15

Informacje na temat wydarzenia

This is an online talk. The link to the ZOOM seminar meeting will be sent later.

Seminarium

Seminarium „Topologia i teoria mnogości”

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We study Goldstern's principle concerning unions of monotone increasing families of null sets indexed by elements of Baire space. M. Goldstern proved in 1993 that such an analytic family has a null union in the sense of Lebesgue measure. We prove that the coanalytic version is also true and that the version ignoring the definability condition is independent from ZFC. We also study the Hausdorff measure version of this principle.

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