ScalingStacks

Definition 1.4.1 . [04MK]

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Definition 1.4.1.

We call simplex a topological space, endowed with a ℤ\mathbb{Z}-affine structure, which is ℤ\mathbb{Z}-affine isomorphic to a space of the form:

τ={∑i=0maiwi=1}⊂ℝm+1, for some ai∈ℕ⩾0.\tau=\{\sum_{i=0}^{m}a_{i}w_{i}=1\}\subset\mathbb{R}^{m+1},\quad\textrm{ for some $a_{i}\in\mathbb{N}_{\geqslant 0}$}.

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