  We present the cosmological implications of measurements of void-galaxy and
galaxy-galaxy clustering from the Sloan Digital Sky Survey (SDSS) Main Galaxy
Sample (MGS), Baryon Oscillation Spectroscopic Survey (BOSS), and extended BOSS
(eBOSS) luminous red galaxy catalogues from SDSS Data Release 7, 12, and 16,
covering the redshift range $0.07 < z < 1.0$. We fit a standard $\Lambda$CDM
cosmological model as well as various extensions including a constant dark
energy equation of state not equal to $-1$, a time-varying dark energy equation
of state, and these same models allowing for spatial curvature. Results on key
parameters of these models are reported for void-galaxy and galaxy-galaxy
clustering alone, both of these combined, and all these combined with
measurements from the cosmic microwave background (CMB) and supernovae (SN).
For the combination of void-galaxy and galaxy-galaxy clustering, we find tight
constraints of $\Omega_\mathrm{m} = 0.356\pm 0.024$ for a base $\Lambda$CDM
cosmology, $\Omega_\mathrm{m} = 0.391^{+0.028}_{-0.021}, w =
-1.50^{+0.43}_{-0.28}$ additionally allowing the dark energy equation of state
$w$ to vary, and $\Omega_\mathrm{m} = 0.331^{+0.067}_{-0.094},
w=-1.41^{+0.70}_{-0.31},\ \mathrm{and}\ \Omega_\mathrm{k} =
0.06^{+0.18}_{-0.13}$ further extending to non-flat models. The combined SDSS
results from void-galaxy and galaxy-galaxy clustering in combination with
CMB+SN provide a 30% improvement in parameter $\Omega_\mathrm{m}$ over CMB+SN
for $\Lambda$CDM, a 5% improvement in parameter $\Omega_\mathrm{m}$ when $w$ is
allowed to vary, and a 32% and 68% improvement in parameters
$\Omega_\mathrm{m}$ and $\Omega_\mathrm{k}$ when allowing for spatial
curvature.
