  We consider certain star versions of the Menger, Hurewicz and Rothberger
properties. Few important observations concerning these properties are
presented, which have not been investigated in earlier works. A variety of
investigations is performed using Alster covers and critical cardinalities
$\mathfrak{d}$, $\mathfrak{b}$ and ${\sf cov}(\mathcal{M})$. Our study explores
further ramifications on the extent and Alexandroff duplicate. In the process
we present investigations on the star versions of the Rothberger property and
compare with similar prior observations of the star versions of the Menger and
Hurewicz properties. We sketch few tables that interpret (mainly
preservation-kind of) properties of the star selection principles obtained so
far. We also present implication diagrams to explicate the interplay between
the star selection principles.
