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arxiv: 1508.01944 · v1 · pith:CNW6NJOFnew · submitted 2015-08-08 · 🧮 math.AT

Functorial CW-approximation

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keywords functorialcw-approximationconstructioninclusionssubspacescommutesconstructfixed
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The usual construction of a CW-approximation is functorial up to homotopy, but it is not functorial. In this note, we construct a functorial CW-approximation. Our construction takes inclusions of subspaces into inclusions of subcomplexes, and commutes with intersections of subspaces of a fixed space.

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