. .. ,

. .. ?-chain,

. .. ?-convexity,

M. Aschenbrenner, L. Van-den-dries, and J. Van-der-hoeven, Asymptotic Differential Algebra and Model Theory of Transseries. Number 195 in Annals of Mathematics studies, 2017.
DOI : 10.23943/princeton/9780691175423.001.0001

URL : http://arxiv.org/pdf/1509.02588

M. Aschenbrenner, L. Van-den-dries, and J. Van-der-hoeven, On numbers, germs, and transseries, Proc. Int. Cong. of Math, vol.1, pp.1-24, 2018.

M. Aschenbrenner, L. Van-den-dries, and J. Van-der-hoeven, The surreal numbers as a universal Hfield, J. Eur. Math. Soc, vol.21, issue.4, pp.1179-1199, 2019.
DOI : 10.4171/jems/858

URL : http://arxiv.org/pdf/1512.02267

A. Berarducci, S. Kuhlmann, V. Mantova, and M. Matusinski, Exponential fields and Conway's omegamap, Proceedings of the, 2019.

A. Berarducci and V. Mantova, Surreal numbers, derivations and transseries, JEMS, vol.20, issue.2, pp.339-390, 2018.
DOI : 10.4171/jems/769

URL : http://eprints.whiterose.ac.uk/109412/8/1503.00315.pdf

J. H. Conway, On numbers and games, 1976.

L. Van-den-dries, . Ph, and . Ehrlich, Fields of surreal numbers and exponentiation, Fundamenta Mathematicae, vol.167, issue.2, pp.173-188, 2001.

L. Van-den-dries, J. Van-der-hoeven, and E. Kaplan, Logarithmic hyperseries, ArXiv, 2018.

J. Écalle, Introduction aux fonctions analysables et preuve constructive de la conjecture de Dulac. Hermann, collection: Actualités mathématiques, 1992.

. Ph and . Ehrlich, Number systems with simplicity hierarchies: a generalization of Conway's theory of surreal numbers, Journal of Symbolic Logic, vol.66, issue.3, pp.1231-1258, 2001.

. Ph, E. Ehrlich, and . Kaplan, Number systems with simplicity hierarchies: a generalization of conway's theory of surreal numbers ii, Journal of Symbolic Logic, vol.83, issue.2, pp.617-633, 2018.

A. Fornasiero, Intregration on Surreal Numbers, 2004.

H. Gonshor, An Introduction to the Theory of Surreal Numbers, 1986.

A. Grothendieck, Théorie des topos et cohomologie étale des schémas -SGA 4, vol.1, 1963.

H. Hahn, Über die nichtarchimedischen Größensysteme. Sitz. Akad. Wiss. Wien, vol.116, pp.601-655, 1907.

J. Van-der-hoeven, Automatic asymptotics, 1997.

J. Van-der-hoeven, Transséries fortement monotones, CNRS activity report, 2000.

J. Van-der-hoeven, Operators on generalized power series, Journal of the Univ. of Illinois, vol.45, issue.4, pp.1161-1190, 2001.

J. Van-der-hoeven, Transseries and real differential algebra, Lecture Notes in Mathematics, vol.1888, 2006.

P. Keddie, Ordinal operations on surreal numbers, Bulletin of the London Mathematical Society, vol.26, pp.531-538, 1994.

S. Kuhlmann and M. Matusinski, The exponential-logarithmic equivalence classes of surreal numbers, Order, vol.32, pp.53-68, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00947083

V. Mantova and M. Matusinski, Surreal numbers with derivation, Hardy fields and transseries: a survey. Contemporary Mathematics, pp.265-290, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01446523

J. Rosenstein, Linear Orderings, Pure and Applied Mathematics, vol.98, 1982.

S. Rubinstein-salzedo and A. Swaminathan, Surreal analysis: an analogue of real analysis on surreal numbers, Journal of Logic and Analysis, vol.6, 2014.

M. C. Schmeling, Corps de transséries, 2001.