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math.LO2012
Transseries and Todorov-Vernaeve's asymptotic fields
Matthias Aschenbrenner, Isaac Goldbring
We study the relationship between fields of transseries and residue fields of convex subrings of non-standard extensions of the real numbers. This was motivated by a question of To…
math.GT2012
The fundamental group of a locally finite graph with ends: a hyperfinite approach
Isaac Goldbring, Alessandro Sisto
The end compactification |Γ| of the locally finite graph Γis the union of the graph and its ends, endowed with a suitable topology. We show that π_1(|Γ|) embeds into a nonstandard…