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1. • CommentRowNumber1.
   • CommentAuthornLab edit announcer
   • CommentTimeMay 27th 2022
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexpolynomials are a concept from abstract algebra, and it is not true that all polynomials are continuous as (non-trivial) [[topological vector spaces]] over a [[field]] with a (non-trivial) [[metric space]]; polynomials over finite fields are one such counterexample: they are only continuous when equipped with the discrete or indiscrete topology and the finite field is equipped with the trivial metric. This article is about polynomial functions over the real numbers and epsilontic pointwise continuity of such functions. Anonymous <a href="https://ncatlab.org/nlab/revision/diff/real+polynomial+functions+are+pointwise+continuous/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/real+polynomial+functions+are+pointwise+continuous/5">v5</a>, <a href="https://ncatlab.org/nlab/show/real+polynomial+functions+are+pointwise+continuous">current</a>

   polynomials are a concept from abstract algebra, and it is not true that all polynomials are continuous as (non-trivial) topological vector spaces over a field with a (non-trivial) metric space; polynomials over finite fields are one such counterexample: they are only continuous when equipped with the discrete or indiscrete topology and the finite field is equipped with the trivial metric.

   This article is about polynomial functions over the real numbers and epsilontic pointwise continuity of such functions.

   Anonymous

   diff, v5, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 28th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks for taking care of these entries. Just to clarify for bystanders: The entry was completely clear about this point. What you changed is the entry's title.

   Thanks for taking care of these entries. Just to clarify for bystanders: The entry was completely clear about this point. What you changed is the entry’s title.