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:
“Do your children view themselves as successes or failures? Are they being encouraged to be inquisitive or passive? Are they afraid to challenge authority and to question assumptions? Do they feel comfortable adapting to change? Are they easily discouraged if they cannot arrive at a solution to a problem? The answers to those questions will give you a better appraisal of their education than any list of courses, grades, or test scores.”
—Lawrence Kutner (20th century)
“In inner-party politics, these methods lead, as we shall yet see, to this: the party organization substitutes itself for the party, the central committee substitutes itself for the organization, and, finally, a “dictator” substitutes himself for the central committee.”
—Leon Trotsky (1879–1940)
“Sin in this country has been always said to be rather calculating than impulsive.”
—Frank Moore Colby (1865–1925)
“Only the groups which exclude us have magic.”
—Mason Cooley (b. 1927)