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:
“I made a list of things I have
to remember and a list
of things I want to forget,
but I see they are the same list.”
—Linda Pastan (b. 1932)
“The comparison between Coleridge and Johnson is obvious in so far as each held sway chiefly by the power of his tongue. The difference between their methods is so marked that it is tempting, but also unnecessary, to judge one to be inferior to the other. Johnson was robust, combative, and concrete; Coleridge was the opposite. The contrast was perhaps in his mind when he said of Johnson: his bow-wow manner must have had a good deal to do with the effect produced.”
—Virginia Woolf (18821941)
“Sin in this country has been always said to be rather calculating than impulsive.”
—Frank Moore Colby (18651925)
“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)