Definition:Convergent Sequence/Normed Division Ring

Definition
Let $\struct {R, \norm {\, \cdot \,} }$ be a normed division ring.

Let $\sequence {x_n} $ be a sequence in $R$.

Also see

 * Definition:Metric Induced by Norm
 * Metric Induced by Norm is Metric
 * Definition:Convergent Real Sequence
 * Equivalence of Definitions of Convergence in Normed Division Rings

Generalizations

 * Definition:Convergent Sequence in Metric Space