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This subtopic studies transformation groups, where groups act on spaces and the resulting orbit, stabilizer, and symmetry structures are analyzed.
22F05 studies general theory of group and pseudogroup actions in transformation groups. It studies groups acting on spaces, with emphasis on orbit structure, invariants, and the interplay between topology and symmetry.
Transformation Groups (Wikipedia)
Used in topology, dynamics, and the study of orbit spaces and fixed-point phenomena.
22F10 studies measurable group actions in transformation groups. It studies groups acting on spaces, with emphasis on orbit structure, invariants, and the interplay between topology and symmetry.
Transformation Groups (Wikipedia)
Used in topology, dynamics, and the study of orbit spaces and fixed-point phenomena.
22F30 studies homogeneous spaces in transformation groups. It studies groups acting on spaces, with emphasis on orbit structure, invariants, and the interplay between topology and symmetry.
Transformation Groups (Wikipedia)
Used in topology, dynamics, and the study of orbit spaces and fixed-point phenomena.
22F50 studies groups as automorphisms of other structures in transformation groups. It studies groups acting on spaces, with emphasis on orbit structure, invariants, and the interplay between topology and symmetry.
Transformation Groups (Wikipedia)
Used in topology, dynamics, and the study of orbit spaces and fixed-point phenomena.