An Upper and a Lower Bound Theorem for Combinatorial 4-Manifolds
نویسندگان
چکیده
منابع مشابه
The Lower Bound Conjecture for 3- and 4-manifolds
For any closed connected d-manifold M let ](M) denote the set of vectors / (K)= (]0(K) ..... fd(K)), where K ranges over all triangulations of M and ]k(K) denotes the number of k-simplices of K. The principal results of this paper are Theorems 1 through 5 below, which, together with the Dehn-Sommerville equations reviewed in w 2, yield a characterization of ](M) for some of the simpler 3and 4-m...
متن کاملAn Improved Lower Bound for Folkman’s Theorem
Folkman’s theorem asserts that for each k ∈ N, there exists a natural number n = F (k) such that whenever the elements of [n] are two-coloured, there exists a set A ⊂ [n] of size k with the property that all the sums of the form ∑ x∈B x, where B is a nonempty subset of A, are contained in [n] and have the same colour. In 1989, Erdős and Spencer showed that F (k) ≥ 2ck2/ log , where c > 0 is an ...
متن کاملA Lower Bound Theorem
Motivated by Candes and Donoho′s work (Candés, E J, Donoho, D L, Recovering edges in ill-posed inverse problems: optimality of curvelet frames. Ann. Stat. 30, 784-842 (2002)), this paper is devoted to giving a lower bound of minimax mean square errors for Riesz fractional integration transforms and Bessel transforms.
متن کاملAn Open Collar Theorem for 4-manifolds
Let M4 be an open 4-manifold with boundary. Conditions are given under which M4 is homeomorphic to <9Afx[0, 1). Applications include a 4-dimensional weak /¡-cobordism theorem and a classification of weakly flat embeddings of 2-spheres in 5"*. Specific examples of (n-2)-spheres embedded in S" (including n = 4) are also discussed.
متن کاملAn Upper Bound Theorem concerning lattice polytopes
R. P. Stanley proved the Upper Bound Conjecture in 1975. We imitate his proof for the Ehrhart rings. We give some upper bounds for the volume of integrally closed lattice polytopes. We derive some inequalities for the delta-vector of integrally closed lattice polytopes. Finally we apply our results for reflexive integrally closed and order polytopes.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 1998
ISSN: 0179-5376
DOI: 10.1007/pl00009369