Revisiting the Hubble constant, spatial curvature and cosmography with
  time-delay and cosmic chronometer observations
  In this work, we use a model-independent approach to determine the Hubble
constant and the spatial curvature simultaneously. We use the cosmic
chronometers in combination with the time delay measurements in this method,
and the cosmography method is used to reconstruct distances from cosmic
chronometer observations instead of the polynomial expansion. This approach
avoids the problems of the physical meaning of polynomial coefficients and the
calibration of "nuisance parameter". Our results show that the measured Hubble
constant $H_0=72.24^{+2.73}_{-2.52} km/s/Mpc$ is in good agreement with that
derived from the local distance ladder measurement. In addition, our results
show that a zero spatial curvature $\Omega_k=0.062^{+0.117}_{-0.078}$ and an
accelerating expansion of the Universe $q_0=-0.645^{+0.126}_{-0.124}$ are
supported by the current time delay of strong lensing system and cosmic
chronometer observations. If we assume a flat universe in advance, we can infer
that the $H_0=70.47^{+1.14}_{-1.15} km/s/Mpc$, falls between the SH0ES and
Plank CMB observation results. Moreover, the convergence and goodness of the
fourth order fitting is worse than the third order fitting case. Finally, the
cosmic expansion history is reconstructed within a wide range of redshifts.
