Skip to main content

All Questions

Filter by
Sorted by
Tagged with
42 votes
12 answers
7k views

Why is the definition of the higher homotopy groups the "right one"?

If someone asked me the question for the fundamental group, I would answer as follows: The connection to classification of covering spaces. The fundamental group of many spaces is an object of ...
16 votes
3 answers
2k views

Motivation for equivariant homotopy theory?

I'm in the process of learning equivariant homotopy theory, so I was wondering: what is the importance of equivariant homotopy theory, and what has it been applied to so far? I know of HHR's solution ...