Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Let $k$ be a field and $x$ is transcendental over $k$. Can we construct a pseudo-cauchy sequence $(a_{i})$ convergent to $x$ with each $a_{i}$ is algebraic over $k$ and $k(a_{i})\subseteq k(a_{i + 1})$. Thanks

share|improve this question
Is your question whether such a $k$ and $x$ exist, or whether a sequence can be found for any given $k$ and $x$ of the form you describe? –  Yemon Choi Jan 11 '13 at 1:19
@ Yemon, thanks. I am looking whether a sequence exist or not for any given $k$ and $x$. –  Rajnish Jan 11 '13 at 2:49

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.