Kevin Houston

Abstract:    Calculating the homology of the image of a map can be quite hard compared to calculating the homology of the preimage of a point. For example, consider smooth maps, images tend to be singular, whilst level sets tend to be manifolds. I will describe a fairly simple method for calculating the homology of the image of a continuous map where the preimage of each point is a finite set. Very few prerequisites are required and the method has applications in singularities, arrangements of hyperplanes, quotients of group actions, algebra and more.

Here are some directions to Northeastern University. Lake Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street.