Grbić, Jelena and Theriault, Stephen
(2007)
*The homotopy type of the complement coordinate subspace arrangement.*
Topology, 46 (4).
pp. 377-400.
ISSN 0040-9383

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## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Coordinate subspace arrangements; Homotopy type; Golod rings; Toric topology; Cube lemma |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 13 Commutative rings and algebras MSC 2010, the AMS's Mathematics Subject Classification > 52 Convex and discrete geometry MSC 2010, the AMS's Mathematics Subject Classification > 55 Algebraic topology |

Depositing User: | Ms Lucy van Russelt |

Date Deposited: | 19 Nov 2007 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/916 |

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