TOPOLOGICAL CLASSIFICATION OF BLACK HOLES: GENERIC MAXWELL SET AND CREASE SET OF A HORIZON

The crease set of an event horizon or a Cauchy horizon is an important object which determines the qualitative properties of the horizon. In particular, it determines the possible topologies of the spatial sections of the horizon. By Fermat's principle in geometric optics, we relate the crease set and the Maxwell set of a smooth function in the context of singularity theory. We thereby give a classification of generic topological structures of the Maxwell sets and the generic topologies of the spatial section of the horizon.

Strong Planks, Weak Platform

Mary Maxwell set out to accomplish three things with this book: to “demonstrate the wide influence sociobiology has had on other academic disciplines,” “to show that the majority of developments in human sociobiology have in fact taken place in various disciplines outside of biology,” and “to introduce the major principles of sociobiology” (pp. 1-2, reiterated p. 9). To do this, she enlisted a set of expert sociobiologists who work in a variety of academic areas and asked each of them to contribute a chapter demonstrating the impact ofsociobiology in their field. Despite the expert help and the fact that the overall quality of each contribution is excellent, Maxwell has failed to achieve any of her three goals.