Degenerate matter. Chandrasekhar limit. The formation, structure and cooling of white dwarf stars. Neutron stars: the outer shell, electron gas in a high magnetic field, Relativistic electrons, superfluidity and superconductivity, the equation of state at high densities and the mass-radius relationship; dynamics of neutron stars, glitches and their relaxation, neutron star oscillations; black holes; compact objects in binary star systems, mass accretion disks.