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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Given a polynomial over the real numbers, we may regard it as a function . If here is regarded as a Euclidean space (equipped with its metric topology), then this is a continuous function.
The proof using epsilontic analysis is spelled out for instance in
Last revised on May 27, 2020 at 08:29:00. See the history of this page for a list of all contributions to it.