On the Homology of Complements of Arrangements of Subspaces and Spheres

DOI10.2307/2160873zbMath0810.57017OpenAlexW4244918817MaRDI QIDQ4311403

Yi Hu

Publication date: 26 October 1994

Full work available at URL: https://doi.org/10.2307/2160873

zbMATH Keywords

Goresky-MacPherson combinatorial formula for the homology of the complement of affine subspacesmixed arrangements of subspaces and spheres

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Algebraic topology of manifolds (57N65) Topological manifolds (57N99)

Related Items

Complements of sphere and subspace arrangements, The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces, On problems concerning moment-angle complexes and polyhedral products, Gauss-Manin connections of Schläfli type for hypersphere arrangements., The characteristic polynomial of the mixed arrangement, Eulerian representations for real reflection groups, Group actions on arrangements of linear subspaces and applications to configuration spaces, A comparison of Vassiliev and Ziegler-Živaljević models for homotopy types of subspace arrangements

Cites Work

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• Combinatorics and topology of complements of hyperplanes
• Homotopy types of subspace arrangements via diagrams of spaces
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes