SOME CARDINAL PROPERTIES OF STRATIFIABLE SPACES Mamadaliev N
Definition 3[8]. The functional tightness of a space is
= min{: is an infinite cardinal and every -continuous real-valued function on is continuous}. The minitightness (or the weak functional tightness) of a space is
= min{: is an infinite cardinal and
every strictly -continuous real-valued function on is continuous}. Since every strictly -continuous function is -continuous, we always have .
It was shown in [8] that always and ; furthermore, sup{is a subspace of }, and if is the image of under a quotient mapping.
