Hi Dalyoung,

I think that there must be a small bug in mkiv regarding itemize in columns, 
but at the same time I think that the problem comes from the fact that in your 
example you use inline maths and fractions: this perturbs the way the 
horizontal and vertical distances are calculated by mkiv. It seems that mkiv 
considers there is not enough horizontal space to put the four items in a row.
If you use two columns the problem is solved, as you can see in the following 
examples (please typest it both with mkii and mkiv to see the differences).
Best regards: OK
%%% begin itemize-dist-bug.tex
\starttext

\setupitemize[1][n] % first level itemize

\setupitemize[2][a,paragraph,columns][stopper=)] % second level itemize
%If you want more than two columns by default add "n=x"

\startitemize
\item Item one
\item Find a well-ordered set:
\startitemize[n=4] % <--- gives correct output both in mkii and mkiv
\item sub-one
\item sub-two
\item sub-three
\item sub-four
\stopitemize
\hairline
\startitemize[n=4] % <--- gives correct output in mkii, but not in mkiv
\item $\{ 2 + \frac{1}{n}, n \in\naturalnumbers\}$
\item $[0, 1)$
\item $\{3 - \frac{2}{n}, n \in \naturalnumbers\}$
\item $ \reals$
\stopitemize
\hairline
\startitemize[n=4] % <--- gives incorrect output both in mkii and mkiv
\item $\{ 2 + n^{-1}, n \in\naturalnumbers\}$
\item $[0, 1)$
\item $\{3 - 2n^{-1}, n \in \naturalnumbers\}$
\item $ \reals$
\stopitemize
\hairline
\startitemize[n=2] % <--- gives correct output both in mkii and mkiv
\item sub-one
\item sub-two
\item sub-three
\item sub-four
\stopitemize

\hairline
\startitemize[n=2] % <--- gives correct output both in mkii and in mkiv
\item $\{ 2 + \frac{1}{n}, n \in\naturalnumbers\}$
\item $[0, 1)$
\item $\{3 - \frac{2}{n}, n \in \naturalnumbers\}$
\item $ \reals$
\stopitemize

\hairline
\startitemize[n=2] % <--- gives correct output both in mkii and mkiv
\item $\{ 2 + n^{-1}, n \in\naturalnumbers\}$
\item $[0, 1)$
\item $\{3 - 2n^{-1}, n \in \naturalnumbers\}$
\item $ \reals$
\stopitemize
\hairline

\stoptext
%%% end itemize-dist-bug.tex

Best regards: OK

On 17 nov. 2012, at 05:03, Jeong Dal <hak...@me.com> wrote:

> Dear all,
> 
> In the following example, the vertical alignment of items looks strange.
> 
> I wonder it is my only problem.
> Is there anything what I have to do to correct it?
> 
> Thank you.
> 
> Best regards,
> 
> Dalyoung
> 
> % sample code
> 
> \starttext
> \startitemize
> 
> \item Find a well-ordered set.
> 
> \startitemize[n, columns, four][stopper=,left=(, right=)]
> \item $\{ 2 + \frac{1}{n}, n \in\naturalnumbers\}$
> \item $[0, 1)$
> \item $\{3 - \frac{2}{n}, n \in \naturalnumbers\}$
> \item $ \reals$
> \stopitemize
> \stopitemize
> \stoptext 
> ___________________________________________________________________________________
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