Dimension in the realm of transseries

Matthias Aschenbrenner, Lou van den Dries, Joris Van Der Hoeven

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Let T be the differential field of transseries. We establish some basic properties of the dimension of a definable subset of Tn, also in relation to its codimension in the ambient space Tn. The case of dimension 0 is of special interest, and can be characterized both in topological terms (discreteness) and in terms of the Herwig-Hrushovski-Macpherson notion of co-analyzability.

Original languageEnglish (US)
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages23-39
Number of pages17
DOIs
StatePublished - Jan 1 2017

Publication series

NameContemporary Mathematics
Volume697
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Aschenbrenner, M., van den Dries, L., & Van Der Hoeven, J. (2017). Dimension in the realm of transseries. In Contemporary Mathematics (pp. 23-39). (Contemporary Mathematics; Vol. 697). American Mathematical Society. https://doi.org/10.1090/conm/697/14044