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math.DG2016★ 1 cited
The fundamental theorem of affine geometry on tori
Jacob Shulkin, Wouter Van Limbeek
The classical Fundamental Theorem of Affine Geometry states that for , any bijection of -dimensional Euclidean space that maps lines to lines (as sets) is given by an a…
math.GT2016★ 4 cited
Towers of regular self-covers and linear endomorphisms of tori
Wouter Van Limbeek
Let be a closed manifold that admits a self-cover of degree >1. We say p is strongly regular if all its iterates are regular covers. In this case, we establish an a…