Text this: Subsets close to invariant subsets for group actions

  ______    _____    _____      _____     _____   
 /_   _//  |  ___|| |  __ \\   |  ___||  |__  //  
   | ||    | ||__   | |  \ ||  | ||__      / //   
  _| ||    | ||__   | |__/ ||  | ||__     / //__  
 /__//     |_____|| |_____//   |_____||  /_____|| 
 `--`      `-----`   -----`    `-----`   `-----`