The homotopy type of the complement of a coordinate subspace arrangement

• Autores: Jelena Grbic, Stephen Theriault
• Localización: Topology, ISSN 0040-9383, Vol. 46, Nº 4, 2007, págs. 357-396
• Idioma: inglés
• DOI: 10.1016/j.top.2007.02.006
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• Resumen

  • The homotopy type of the complement of a complex coordinate subspace arrangement is studied by utilising some connections 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.