Studying the world that we live in, specially through the window of the sky, has a long standing interest among people. In recent decades, the new technology has only caused this interest to grow. Nowadays, cosmology has become an exact science that among other things, studies 2+1 and 3+1 fields.Here we are mostly interested in studying cosmic tensions, degeneracies and measuring more precise values of cosmic parameters. We have three goals in mind: Parameter estimation, Model discrimination and Searching for new physics. In doing so, we make use of a variety of statistical, geometrical and topological tools.
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