Tomographic local 2D analyses of the WISExSuperCOSMOS all-sky galaxy
  catalogue
  The recent progress in obtaining larger and deeper galaxy catalogues is of
fundamental importance for cosmological studies, especially to robustly measure
the large scale density fluctuations in the Universe. The present work uses the
Minkowski Functionals (MF) to probe the galaxy density field from the
WISExSuperCOSMOS (WSC) all-sky catalogue by performing tomographic local
analyses in five redshift shells (of thickness $\delta z = 0.05$) in the total
range of $0.10 < z < 0.35$. Here, for the first time, the MF are applied to 2D
projections of the galaxy number count (GNC) fields with the purpose of looking
for regions in the WSC catalogue with unexpected features compared to
$\Lambda$CDM mock realisations. Our methodology reveals 1 - 3 regions of the
GNC maps in each redshift shell with an uncommon behaviour (extreme regions),
i.e., $p$-value $<$ 1.4\%. Indeed, the resulting MF curves show signatures that
suggest the uncommon behaviour to be associated with the presence of over- or
under-densities there, but contamination due to residual foregrounds is not
discarded. Additionally, even though our analyses indicate a good agreement
among data and simulations, we identify 1 highly extreme region, seemingly
associated to a large clustered distribution of galaxies. Our results confirm
the usefulness of the MF to analyse GNC maps from photometric galaxy datasets.
