Measurability and semi-continuity of multifunctions

摘要

The following pages contain details of a mini-course of three lectures given at the V International Course of Mathematical Analysis of Andalucía (CIDAMA), Almeria, September 12-17, 2011. When I was invited to give this mini-course and thought about possible topics for it, I decided to talk about multifunctions because they have always been present in my research on fields theoretically apart from each other as topology and integration theory. Therefore you will find here my biased views regarding part of the research that I have done over the years. The proofs for this material have been published elsewhere by me or by some other authors. This mini-survey is written attending to the invitation of the editors of this book with the sole purpose of witnessing the given mini-course and with the aim of providing the reader with connections and ideas that usually are not written in research papers. I thank the organizers of CIDAMA V as well as the editors of the book for their kind invitation to give the lecture and write this mini-survey.