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:

    Love’s boat has been shattered against the life of everyday. You and I are quits, and it’s useless to draw up a list of mutual hurts, sorrows, and pains.
    Vladimir Mayakovsky (1893–1930)

    A writer who writes, “I am alone” ... can be considered rather comical. It is comical for a man to recognize his solitude by addressing a reader and by using methods that prevent the individual from being alone. The word alone is just as general as the word bread. To pronounce it is to summon to oneself the presence of everything the word excludes.
    Maurice Blanchot (b. 1907)

    I know that the right kind of leader for the Labour Party is a kind of desiccated calculating machine.
    Aneurin Bevan (1897–1960)

    And seniors grow tomorrow
    From the juniors today,
    And even swimming groups can fade,
    Games mistresses turn grey.
    Philip Larkin (1922–1986)