Mapping Class Group - Mapping-class Groups of Pairs

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: XX is invertible and f(A) = A.

Read more about this topic:  Mapping Class Group

Famous quotes containing the word groups:

    Some of the greatest and most lasting effects of genuine oratory have gone forth from secluded lecture desks into the hearts of quiet groups of students.
    Woodrow Wilson (1856–1924)