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Duals of Higher Vector Spaces

Ronchi, Stefano et al.
arXiv (All) · Papers
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algebraic-topologycategory-theorydifferential-geometry
We introduce a notion of ``$n$-dual'' to a simplicial vector space for $n\ge 0$. Coming with it, there is a canonical pairing, which we show to be non-degenerate up to homotopy for homotopy $n$-types. As a result this notion of duality is reflexive up to homotopy for $n$-types. In particular the sam
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