  Using the almost all-sky 2MASS Photometric Redshift catalogue (2MPZ) we
perform for the first time a tomographic analysis of galaxy angular clustering
in the local Universe ($z<0.24$). We estimate the angular auto- and cross-power
spectra of 2MPZ galaxies in three photometric redshift bins, and use dedicated
mock catalogues to assess their errors. We measure a subset of cosmological
parameters, having fixed the others at their Planck values, namely the baryon
fraction $f_{b}=0.14^{+0.09}_{-0.06}$, the total matter density parameter
$\Omega_{\rm m}=0.30\pm 0.06$, and the effective linear bias of 2MPZ galaxies
$b_{\rm eff}$, which grows from $1.1^{+0.3}_{-0.4}$ at $\langle z \rangle=0.05$
up to $2.1^{+0.3}_{-0.5}$ at $\langle z\rangle=0.2$, largely because of the
flux-limited nature of the dataset. The results obtained here for the local
Universe agree with those derived with the same methodology at higher
redshifts, and confirm the importance of the tomographic technique for
next-generation photometric surveys such as Euclid or LSST.
