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:

    Women over fifty already form one of the largest groups in the population structure of the western world. As long as they like themselves, they will not be an oppressed minority. In order to like themselves they must reject trivialization by others of who and what they are. A grown woman should not have to masquerade as a girl in order to remain in the land of the living.
    Germaine Greer (b. 1939)