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)

    I conceive that the leading characteristic of the nineteenth century has been the rapid growth of the scientific spirit, the consequent application of scientific methods of investigation to all the problems with which the human mind is occupied, and the correlative rejection of traditional beliefs which have proved their incompetence to bear such investigation.
    Thomas Henry Huxley (1825–95)

    [The] elderly and timid single gentleman in Paris ... never drove down the Champs Elysees without expecting an accident, and commonly witnessing one; or found himself in the neighborhood of an official without calculating the chances of a bomb. So long as the rates of progress held good, these bombs would double in force and number every ten years.
    Henry Brooks Adams (1838–1918)

    Trees appeared in groups and singly, revolving coolly and blandly, displaying the latest fashions. The blue dampness of a ravine. A memory of love, disguised as a meadow. Wispy clouds—the greyhounds of heaven.
    Vladimir Nabokov (1899–1977)