We introduce a notion of the tangent bundle of a poset. In the case where the poset is the poset of simplices of a combinatorial manifold, the construction produces the best possible combinatorial model for the geometric compactified tangent bundle.
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 421, 2014, pp. 113–125.
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Mnëv, N. A Note on the Tangent Bundle and Gauss Functor of Posets and Manifolds. J Math Sci 200, 710–717 (2014). https://doi.org/10.1007/s10958-014-1962-4
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DOI: https://doi.org/10.1007/s10958-014-1962-4