  One of the most remarkable phenomena in Loop Quantum Cosmology is that, at
least for homogeneous cosmological models, the Big Bang is replaced with a Big
Bounce that connects our universe with a previous branch without passing
through a cosmological singularity. The goal of this work is to study the
existence of singularities in Loop Quantum Cosmology including inhomogeneities
and check whether the behavior obtained in the purely homogeneous setting
continues to be valid. With this aim, we focus our attention on the three-torus
Gowdy cosmologies with linearly polarized gravitational waves and use effective
dynamics to carry out the analysis. For this model, we prove that all the
potential cosmological singularities are avoided, generalizing the results
about resolution of singularities to this scenario with inhomogeneities. We
also demonstrate that, if a bounce in the (Bianchi background) volume occurs,
the inhomogeneities increase the value of this volume at the bounce with
respect to its counterpart in the homogeneous case.
