The study of definable equivalence relations on complete separable metric spaces (i.e., Polish spaces) has emerged as a new direction of research in descriptive set theory over the past twenty years. Quotients of such equivalence relations include the orbit space of an ergodic group action, the set of Turing degrees of subsets of natural numbers, and the space of isomorphism classes of countabl...

Introduction Good health is as a result of combination of many factors, one of these factors is hand hygiene. The hands are probably the most used body organ. A day barely passes without holding multiple objects with our hands; we greet people, hold money, eat and clean our houses with our hands. It is therefore apparent that our Hands are at a higher exposure to germs than any other part of ou...

This proposal is an effort to summarize the goals and the aspirations I have as a student pursuing research in the field of Distributed Systems, Fault-Tolerance and related areas. In the course of my doctoral studies at the Department of Computer Science at Texas A&M University, I would like to do active research among the topics that have been enlisted below and that interest me. I understand ...