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:
“Lastly, his tomb
Shall list and founder in the troughs of grass
And none shall speak his name.”
—Karl Shapiro (b. 1913)
“If you want to know the taste of a pear, you must change the pear by eating it yourself.... If you want to know the theory and methods of revolution, you must take part in revolution. All genuine knowledge originates in direct experience.”
—Mao Zedong (18931976)
“I know that the right kind of leader for the Labour Party is a kind of desiccated calculating machine.”
—Aneurin Bevan (18971960)
“As in political revolutions, so in paradigm choicethere is no standard higher than the assent of the relevant community. To discover how scientific revolutions are effected, we shall therefore have to examine not only the impact of nature and of logic, but also the techniques of persuasive argumentation effective within the quite special groups that constitute the community of scientists.”
—Thomas S. Kuhn (b. 1922)