The homotopy type of the complement of a coordinate subspace arrangement

Details The homotopy type of the complement of a coordinate subspace arrangement The homotopy type of the complement of a coordinate subspace arrangement

2006-01-12

arxiv.org/abs/math/0601279v1

Mathematics

Algebraic Topology

42 pages

Scientific paper

The homotopy type of the complement of a complex coordinate subspace arrangement is studied by fathoming out the connection between its topological and combinatorial structures. A family of arrangements for which the complement is homotopy equivalent to a wedge of spheres is described. One consequence is an application in commutative algebra: certain local rings are proved to be Golod, that is, all Massey products in their homology vanish.

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