Big Bang Cosmology is now a wide research field spanning the search of dark matter to space observations of cosmic background anisotropies. The proceedings of this conference bring together the work of high energy physicists and cosmologists. In each field, alternative interpretations and crucial future observations are discussed, such as: What is the best experiment for detecting dark matter? What is the crucial observation for measuring such cosmological parameters as the Hubble Constant? Are galaxies formed through growing gravitational instabilities or through the condensation of matter around topological defects? To what degree are the anisotropies of CBR observed by COBE and other experiments contaminated by known and unknown galactic components?