A Note on the Tangent Bundle and Gauss Functor of Posets and Manifolds

N. Mnëv

doi:10.1007/s10958-014-1962-4

Journal of Mathematical Sciences

August 2014, Volume 200, Issue 6, pp 710–717

A Note on the Tangent Bundle and Gauss Functor of Posets and Manifolds

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N. MnëvEmail author

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First Online:: 09 July 2014

DOI: 10.1007/s10958-014-1962-4

Cite this article as:: Mnëv, N. J Math Sci (2014) 200: 710. doi:10.1007/s10958-014-1962-4

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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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N. Mnëv
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1.St.Petersburg Department of Steklov Mathematical Institute; Chebyshev LaboratorySt.Petersburg State UniversitySt.PetersburgRussia

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A Note on the Tangent Bundle and Gauss Functor of Posets and Manifolds

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