منابع مشابه
Coarse Alexander Duality and Duality Groups
We study discrete group actions on coarse Poincare duality spaces, e.g. acyclic simplicial complexes which admit free cocompact group actions by Poincare duality groups. When G is an (n − 1) dimensional duality group and X is a coarse Poincare duality space of formal dimension n, then a free simplicial action G y X determines a collection of “peripheral” subgroups H1, . . . , Hk ⊂ G so that the...
متن کاملAlexander duality in experimental designs
If F is a full factorial design and D is a fraction of F , then for a givenmonomial ordering, the algebraic method gives a saturated polynomial basis for D which can be used for regression. Consider now an algebraic basis for the complementary fraction of D in F , built under the same monomial ordering. We show that the basis for the complementary fraction is the Alexander dual of the first bas...
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The A−B slice problem is a reformulation of the topological 4−dimensional surgery conjecture, in terms of smooth decompositions of the 4−ball. This paper applies the theory of link groups of 4−manifolds, recently developed by the author [9], to formulate a candidate for an obstruction in the A − B slice program. The strength of this invariant is illustrated by the theorem that it provides an ob...
متن کاملThe Alexander duality functors and local duality with monomial support
Alexander duality is made into a functor which extends the notion for monomial ideals to any finitely generated N-graded module. The functors associated with Alexander duality provide a duality on the level of free and injective resolutions, and numerous Bass and Betti number relations result as corollaries. A minimal injective resolution of a module M is equivalent to the injective resolution ...
متن کاملSubdivision Yields Alexander Duality on Independence Complexes
We study how the homotopy type of the independence complex of a graph changes if we subdivide edges. We show that the independence complex becomes the Alexander dual if we place one new vertex on each edge of a graph. If we place two new vertices on each edge then the independence complex is the wedge of two spheres. Placing three new vertices on an edge yields the suspension of the independenc...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1983
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1983.106.115