Homotopy Group - A List of Methods For Calculating Homotopy Groups

A List of Methods For Calculating Homotopy Groups

  • The long exact sequence of homotopy groups of a fibration.
  • Hurewicz theorem, which has several versions.
  • Blakers–Massey theorem, also known as excision for homotopy groups.
  • Freudenthal suspension theorem, a corollary of excision for homotopy groups.

Read more about this topic:  Homotopy Group

Famous quotes containing the words list, methods, calculating and/or groups:

    “Every morning I woke in dread, waiting for the day nurse to go on her rounds and announce from the list of names in her hand whether or not I was for shock treatment, the new and fashionable means of quieting people and of making them realize that orders are to be obeyed and floors are to be polished without anyone protesting and faces are to be made to be fixed into smiles and weeping is a crime.”
    —Janet Frame (b. 1924)

    “We can best help you to prevent war not by repeating your words and following your methods but by finding new words and creating new methods.”
    —Virginia Woolf (1882–1941)

    “Because relationships are a primary source of self-esteem for girls and women, daughters need to know they will not lose our love if they speak up for what they want to tell us how they feel about things. . . . Teaching girls to make specific requests, rather than being indirect and agreeable, will help them avoid the pitfalls of having to be manipulative and calculating to get what they want.”
    —Jeanne Elium (20th century)

    “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)