Prove that the set $P$ of algebraic polynomial is a first category set in $C[a, b]$ I know the definition of first category is countable union of nowhere dense sets. and further more I know that the set of algebraic numbers is countable. and set of polynomials is dense in in $C[a, b]$. Now How can I use all these known facts here to prove my problem
2026-02-23 06:24:11.1771827851
Prove that the Set $P$ of algebraic polynomial is a first category set in $C[a,b]$
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