On repeated sequential closures of constructible functions in valuations

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Abstract

The space of constructible functions form a dense subspace of the space of generalized valuations. In this note we prove a somewhat stronger property that the sequential closure, taken sufficiently many (in fact, infinitely many) times, of the former space is equal to the latter one. This stronger property is necessary for some applications in Alesker (Geom Funct Anal 20(5):1073–1143, 2010).

Original languageEnglish
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Verlag
Pages1-14
Number of pages14
DOIs
StatePublished - 2017

Publication series

NameLecture Notes in Mathematics
Volume2169

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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