Add to ORKGInspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to the additive reduct of the field. We call such fields omega-fields and we prove that any omega-field of bounded Hahn series with real coefficients admits an exponential function making it into a model of the theory of the real exponential field. We also consider relative versions with more general coefficient fields
We investigate IPA-real closed fields, that is, real closed fields which admit an integer part whose...
It is shown that the complex field equipped with the "approximate exponential map", defined up to am...
Several authors have conjectured that Conway’s field of surreal numbers, equipped with the exponenti...
Inspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to...
Inspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to...
We prove the ordered abelian group of monomials of the field of logarithmic exponential transseries ...
We prove that the value group of the field of transseries is isomorphic to the additive reduct of th...
In an extended abstract Ressayre considered real closed exponential fields and integer parts that re...
We prove a result that gives positive evidence towards the universality of the field of surreal numb...
We give a construction of quasiminimal fields equipped with pseudo-analytic maps, generalising Zilbe...
We show that Écalle's transseries and their variants (LE and EL-series) can be interpreted as functi...
Ressayre considered real closed exponential fields and exponential integer parts; i.e., integer part...
The algebra of exponential fields and their extensions is developed. The focus is on ELA-fields, whi...
Model theoretic algebra has witnessed remarkable progress in the last few years. It has found profou...
In [K–K–S] it was shown that fields of generalized power series cannot admit an exponential function...
We investigate IPA-real closed fields, that is, real closed fields which admit an integer part whose...
It is shown that the complex field equipped with the "approximate exponential map", defined up to am...
Several authors have conjectured that Conway’s field of surreal numbers, equipped with the exponenti...
Inspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to...
Inspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to...
We prove the ordered abelian group of monomials of the field of logarithmic exponential transseries ...
We prove that the value group of the field of transseries is isomorphic to the additive reduct of th...
In an extended abstract Ressayre considered real closed exponential fields and integer parts that re...
We prove a result that gives positive evidence towards the universality of the field of surreal numb...
We give a construction of quasiminimal fields equipped with pseudo-analytic maps, generalising Zilbe...
We show that Écalle's transseries and their variants (LE and EL-series) can be interpreted as functi...
Ressayre considered real closed exponential fields and exponential integer parts; i.e., integer part...
The algebra of exponential fields and their extensions is developed. The focus is on ELA-fields, whi...
Model theoretic algebra has witnessed remarkable progress in the last few years. It has found profou...
In [K–K–S] it was shown that fields of generalized power series cannot admit an exponential function...
We investigate IPA-real closed fields, that is, real closed fields which admit an integer part whose...
It is shown that the complex field equipped with the "approximate exponential map", defined up to am...
Several authors have conjectured that Conway’s field of surreal numbers, equipped with the exponenti...