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

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ASJC Scopus subject areas

  • Mathematics(all)

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

Dimension in the realm of transseries. / Aschenbrenner, Matthias; van den Dries, Lou; Van Der Hoeven, Joris.

Contemporary Mathematics. American Mathematical Society, 2017. p. 23-39 (Contemporary Mathematics; Vol. 697).

Research output: Chapter in Book/Report/Conference proceedingChapter

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