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arxiv: 1612.09337 · v2 · pith:6PU2LQ6Ynew · submitted 2016-12-29 · 🧮 math.DS

Transitivity of codimension one non-invertible conservative skew-products

classification 🧮 math.DS
keywords transitivityskew-productsactioncodimensionconservativeendomorphismsestablishexplore
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In this work we explore the problem of transitivity of volume-preserving skew-products endomorphisms of the n-torus. More specifically, we establish relationships between transitivity and the action induced by the skew-product in the fundamental group.

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