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:
“Thirty—the promise of a decade of loneliness, a thinning list of single men to know, a thinning brief-case of enthusiasm, thinning hair.”
—F. Scott Fitzgerald (1896–1940)
“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)
“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)
“Only the groups which exclude us have magic.”
—Mason Cooley (b. 1927)