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f-Vectors of 3-Manifolds
In 1970, Walkup [46] completely described the set of f -vectors for the four 3manifolds S3, S2×S1, S2×S1, and RP . We improve one of Walkup’s main restricting inequalities on the set of f -vectors of 3-manifolds. As a consequence of a bound by Novik and Swartz [35], we also derive a new lower bound on the number of vertices that are needed for a combinatorial d-manifold in terms of its β1-coeff...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2013
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2013.03.029