"On Borsuk-Ulam Phenomena"
The classical Borsuk-Ulam theorem provides conditions when
an equivariant mapping of a certain sort fails to exist.
Combinatorial problems are sometimes formulated by constructing
a mapping from a configuration space to a test space with
symmetries. If the mapping fails to exist, a coincidence occurs
that solves the combinatorial problem. In this talk, I will
show a rich source of theorems of this type where the test
space is the complement of an arrangement.
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