These notes are based on lectures in algebraic topology taught by Peter May and Henry Chan at the 2016 University of Chicago Math REU. They are loosely chronological, having been reorganized for my benefit and significantly annotated by my personal exposition, plus solutions to in-class/HW exercises, plus content from readings (from May’s Finite Book), books (e.g. May’s Concise Course, Munkres’...

The recent surge of interest in oocyte development has been spurred in large part by the increasing implementation of assisted reproductive technologies (ART) to treat human infertility. What is becoming apparent is that 'egg quality' is a primary factor in the success of ART (Sauer 1998), and yet we know virtually nothing about the molecular signature of a 'high quality' oocyte, i.e., an oocyt...

belief in matter of matters or the prime matter is one of the earliest human beliefs in the field of philosophical thinking. from among the muslim philosophers, the peripatetics have confirmed it and come up with certain arguments; however, some others have not accepted it. in this article, it is tried to critically review the arguments on proving the prime matter and the objections that muslim...