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arxiv: 1202.5572 · v1 · pith:6LEYTITEnew · submitted 2012-02-24 · 🧮 math.AG · math.CO· math.LO

Toric cubes are closed balls

Saugata Basu , Andrei Gabrielov , Nicolai Vorobjov This is my paper
classification 🧮 math.AG math.COmath.LO
keywords ballsclosedcubesmapstoricclosuresgraphshomeomorphic
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We prove that toric cubes, which are images of $[0,1]^d$ under monomial maps, are the closures of graphs of monotone maps, and in particular semi-algebraically homeomorphic to closed balls.

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