Every -complex is homotopy equivalent to (the realization of) a simplicial complex.
Any field that is finitely generated as a ring is a finite field.
Given a group , embed in a larger group such that any automorphism of is the restriction of an inner automorphism of .
For , let be a complex domain and let . Let be a complex Brownian motion starting from . Set .
Suppose that there exists a conformal isomorphism such that . Set and define for
Then and have the same distribution.
Is there a bijection of the plane sending every circle to a square?
Exhibit a group , a set of generators for and a subgroup such that for all and yet is not normal in .
What is the number of idempotent functions ?