In this paper, we are concerned with the very general notion of
a universal algebra. A universal algebra essentially consists of a set
A together with a possibly infinite set of finitary operations on. A.
Generally, these operations are related by means of equations, yielding
different algebraic structures such as...
In this dissertation we construct a homology theory on the category of submersions which generalizes the homology of the base space with coefficients in the homology of the fiber as given by the E²-terms of the Serre spectral sequence of a fiber bundle. The main motivation for this new homology...