Dimension in the realm of transseries

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

Research output: Chapter in Book/Report/Conference proceedingChapter


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
Number of pages17
StatePublished - 2017

Publication series

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

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Dimension in the realm of transseries'. Together they form a unique fingerprint.

Cite this