Pseudosphere Arrangements with Simple Complements
نویسندگان
چکیده
منابع مشابه
Borsuk-Ulam Theorems for Complements of Arrangements
In combinatorial problems it is sometimes possible to define a G-equivariant mapping from a space X of configurations of a system to a Euclidean space Rm for which a coincidence of the image of this mapping with an arrangement A of linear subspaces insures a desired set of linear conditions on a configuration. BorsukUlam type theorems give conditions under which no G-equivariant mapping of X to...
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We show that, for an arrangement of subspaces in a complex vector space with geometric intersection lattice, the complement of the arrangement is formal. We prove that the Morgan rational model for such an arrangement complement is formal as a differential graded algebra.
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Let V be an l−dimensional real vector space. A subspace arrangement A is a finite collection of affine subspaces in V . There is no assumption on the dimension of the elements of A. Let M(A) = V −∪A∈AA be the complement of A. A method of calculating the additive structure of H(M(A)) was given in [G-MP] using stratified Morse theory, proving that H(M(A)) depends only on the set of all intersecti...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2003
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181075475