Including topology change in loop quantum gravity with topspin network formalism with application to homogeneous and isotropic cosmology

We apply topspin network formalism to Loop Quantum Gravity in order include the theory possibility of changes topology spacetime. this three toy models: with first, we find that can actually change due action Hamiltonian constraint and second final state might be a superposition states different topologies. In third last application, consider an homogeneous isotropic Universe, calculating difference equation describes evolution system which are topological after constraint. For case, also calculate transition amplitudes probabilities from initial states.