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Cubical Version of Combinatorial Differential Forms

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Abstract

The theory of combinatorial differential forms is usually presented in simplicial terms. We present here a cubical version; it depends on the possibility of forming affine combinations of mutual neighbour points in a manifold, in the context of synthetic differential geometry.

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Correspondence to Anders Kock.

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Kock, A. Cubical Version of Combinatorial Differential Forms. Appl Categor Struct 18, 165–183 (2010). https://doi.org/10.1007/s10485-008-9143-6

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