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- W2029041106 abstract "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 by Goresky and MacPherson using stratified Morse theory, proving that Hn(M(A)) depends only on the set of all intersections of elements of A partially ordered by inclusion. An alternate method of calculating Hn(M(A)) was obtained by Jewell using the generalized Mayer-Vietoris spectral sequence, one-point compactifications, and the nerve poset. In this paper, we present an explicit isomorphism between the two results, offer an interpretation of the coincidence of the two methods and obtain a simplification of the method of calculation by Jewell." @default.
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- W2029041106 title "On the complements of affine subspace arrangements" @default.
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- W2029041106 doi "https://doi.org/10.1016/0166-8641(94)90076-0" @default.
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