continuous homomorphismの例文

例文

1. By the previous construction the universal cover can be made into a topological group with the covering map a continuous homomorphism.
2. In particular 閠ale algebras of dimension " n " are classified by conjugacy classes of continuous homomorphisms from the absolute Galois group to the symmetric group " S " " n ".
3. It is easy to prove that the topological extension 0 \ rightarrow H \ stackrel { i } { \ rightarrow } X \ stackrel { \ pi } { \ rightarrow } G \ rightarrow 0 splits if and only if there is a continuous homomorphism R : X \ rightarrow H such that R \ circ i is the identity map on H