Semicontinuity is a related term of semicontinuous.

In mathematics|lang=en terms the difference between semicontinuity and semicontinuous

is that semicontinuity is (mathematics) the condition of being semicontinuous while semicontinuous is (mathematics) (of a function ) that it is continuous almost everywhere, except at certain points at which it is either upper semi-continuous or lower semi-continuous.

As a noun semicontinuity

is (mathematics) the condition of being semicontinuous.

As an adjective semicontinuous is

(mathematics) (of a function ) that it is continuous almost everywhere, except at certain points at which it is either upper semi-continuous or lower semi-continuous.