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Dimension in the realm of transseries

  • University of California, Los Angeles
  • University of Illinois at Urbana-Champaign

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

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
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages23-39
Number of pages17
DOIs
Publication statusPublished - 1 Jan 2017

Publication series

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

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