analysis (differential/integral calculus, functional analysis, topology)
metric space, normed vector space
open ball, open subset, neighbourhood
convergence, limit of a sequence
compactness, sequential compactness
continuous metric space valued function on compact metric space is uniformly continuous
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Every rational function is a continuous function on its domain of definition.
This follows directly from the fact that polynomial funcitons are continuous?
A proof using epsilontic analysis is spelled out for instance around corollary 3.16 here:
Created on May 7, 2017 at 10:21:08. See the history of this page for a list of all contributions to it.