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- W1521741126 abstract "In combinatorial problems it is sometimes possible to define a G-equivariant mapping from a space X of configurations of a system to a Euclidean space R m for which a coincidence of the image of this mapping with an arrangement A of linear subspaces insures a desired set of linear conditions on a configuration. Borsuk-Ulam type theorems give conditions under which no G-equivariant mapping of X to the complement of the arrangement exist. In this paper, precise conditions are presented which lead to such theorems through a spectral sequence argument. We introduce a blow up of an arrangement whose complement has particularly nice cohomology making such arguments possible. Examples are presented that show that these conditions are best possible." @default.
- W1521741126 created "2016-06-24" @default.
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- W1521741126 date "2008-01-01" @default.
- W1521741126 modified "2023-09-27" @default.
- W1521741126 title "Borsuk-Ulam Theorems for Complements of Arrangements" @default.
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