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Nov 6, 2011 at 12:28 comment added Gro-Tsen Thanks for pointing out this nice result, which answers a few questions I had in mind. However, I don't think it answers my original question, because the serious problem is for surreals whose length is precisely an epsilon number (e.g., $x\in\mathbf{No}(\varepsilon_0^\omega)$ such that $x=\omega^-x$), and which cannot be "explained" in terms of Hahn series using simpler surreals (Conway calls such surreals "irreducible"). But maybe there is no satisfactory answer to my question.
Nov 1, 2011 at 16:07 history edited Jacques Carette CC BY-SA 3.0
was missing \mathbb R in 2 places.
Nov 1, 2011 at 14:54 history edited Jacques Carette CC BY-SA 3.0
oops, over-eager
Nov 1, 2011 at 13:28 history edited Jacques Carette CC BY-SA 3.0
remove most $$ as they really made the post too long
Nov 1, 2011 at 12:47 history answered Philip Ehrlich CC BY-SA 3.0