Mapping-class Groups of Pairs
Given a pair of spaces (X,A) the mapping class group of the pair is the isotopy-classes of automorphisms of the pair, where an automorphism of (X,A) is defined as an automorphism of X that preserves A, i.e. f: X → X is invertible and f(A) = A.
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“Only the groups which exclude us have magic.”
—Mason Cooley (b. 1927)
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