# Is there a “medium” \cap?

When displaying the intersection symbol in equations, e.g.,

$$Hom(A,B) \cap Hom(B,C)$$


I find that the "cap" is too small; its height is, in fact, subordinate to the surrounding content. On the other hand, \bigcap is entirely too big, dwarfing the surrounding content. This is especially unnecessary if the intersection is not indexed, for example. What is needed is a "medium" cap whose size is somewhere between the big cap and the regular cap. Does such a symbol/construct exist?

Note that similar comments apply to \bigcup and \cup.

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\ifx\displaystyle#1\textstyle\else#1\fi\bigcap\$}}}


This is the result of

$\operatorname{Hom}(A,B)\cap\operatorname{Hom}(B,C)$


and of

$\operatorname{Hom}(A,B)\mcap\operatorname{Hom}(B,C)$


You need \usepackage{amsmath} to use \operatorname and you might want to say

\DeclareMathOperator{\Hom}{Hom}


in the preamble, in order to be able to use \Hom as an abbreviation.

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