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)
“We can best help you to prevent war not by repeating your words and following your methods but by finding new words and creating new methods.”
—Virginia Woolf (1882–1941)
“[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)
“Belonging to a group can provide the child with a variety of resources that an individual friendship often cannot—a sense of collective participation, experience with organizational roles, and group support in the enterprise of growing up. Groups also pose for the child some of the most acute problems of social life—of inclusion and exclusion, conformity and independence.”
—Zick Rubin (20th century)