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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 421, Pages 113–125
(Mi znsl5753)
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A note on the tangent bundle and Gauss functor of posets and manifolds
N. Mnëvab a St. Petersburg Department of Steklov Mathematical Institute, Fontanka 27, 191023 St. Petersburg
b Chebyshev Laboratory, St. Petersburg State University, 14th Line 29b, 199178 St. Petersburg, Russia
Abstract:
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.
Key words and phrases:
poset, tangent bundle, Gauss map.
Received: 12.12.2013
Citation:
N. Mnëv, “A note on the tangent bundle and Gauss functor of posets and manifolds”, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Zap. Nauchn. Sem. POMI, 421, POMI, St. Petersburg, 2014, 113–125; J. Math. Sci. (N. Y.), 200:6 (2014), 710–717
Linking options:
https://www.mathnet.ru/eng/znsl5753 https://www.mathnet.ru/eng/znsl/v421/p113
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Abstract page: | 149 | Full-text PDF : | 37 | References: | 27 |
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