The homotopy type of the complement of a coordinate subspace arrangement

Jelena Grbic; Stephen Theriault

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The homotopy type of the complement of a coordinate subspace arrangement

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arxiv math/0601279 v1 pith:TYQ2TXLQ submitted 2006-01-12 math.AT math.ACmath.CO

The homotopy type of the complement of a coordinate subspace arrangement

Jelena Grbic , Stephen Theriault This is my paper

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keywords complementhomotopyarrangementcoordinatesubspacetypealgebraapplication

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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.

The homotopy type of the complement of a coordinate subspace arrangement

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