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:

    A man’s interest in a single bluebird is worth more than a complete but dry list of the fauna and flora of a town.
    Henry David Thoreau (1817–1862)

    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)

    What our children have to fear is not the cars on the highways of tomorrow but our own pleasure in calculating the most elegant parameters of their deaths.
    —J.G. (James Graham)

    Under weak government, in a wide, thinly populated country, in the struggle against the raw natural environment and with the free play of economic forces, unified social groups become the transmitters of culture.
    Johan Huizinga (1872–1945)