In this dissertation, we construct homogeneous continua by using a fibered product of a homogeneous continuum X with itself. The space X must have a continuous decomposition into continua, and it must possess a certain type of homogeneity property with respect to this decomposition It is known that the points of any one-dimensional, homogeneous continuum can be 'blown up' into pseudo-arcs to form a new continuum with a continuous decomposition into pseudo-arcs. We will show that these continua can be used in the above construction Finally, we will show that the continuum constructed by using the pseudo-arcs, the circle of pseudo-arcs, or the solenoid of pseudo-arcs is not homeomorphic to any known homogeneous continuum