We investigate the relationship between the spatial distributions of s
tellar populations and of neutral and ionized gas in the Local Group d
warf irregular galaxy Sextans A. This galaxy is currently experiencing
a burst of localized star formation, the trigger of which is unknown.
We have resolved various populations of stars via deep UBV(RI), imagi
ng over an area with diameter similar to 5.'3. We have compared our ph
otometry with theoretical isochrones appropriate for Sextans A, in ord
er to determine the ages of these populations. We have mapped out the
history of star formation, most accurately for times less than or simi
lar to 100 Myr. We find that star formation in Sextans A is correlated
both in time and space, especially for the most recent (less than or
similar to 12 Myr) times. The youngest stars in the galaxy are forming
primarily along the inner edge of the large H I shell. Somewhat older
populations,,less than or similar to 50 Myr, are found inward of the
youngest stars. Progressively older star formation, from similar to 50
-100 Myr, appears to have some spatially coherent structure and is mor
e centrally concentrated. The oldest stars we can accurately sample ap
pear to have approximately a uniform spatial distribution, which exten
ds beyond a surface brightness of mu(B) similar or equal to 25.9 mag a
rcsec(-2) (or, a radius r similar or equal to 2.'3). Although other pr
ocesses are also possible, our data provide support for a mechanism of
supernova-driven expansion of the neutral gas, resulting in cold-gas
pileup and compression along the H I shell and sequential star formati
on in recent times.