附註:Includes bibliographical references (pages 161-163) and index.
Contents; Preface; Introduction; Chapter 1. Classical results; Chapter 2. Functions that are constant on the sets of a disjoint discretely s-decomposable family of Fs -sets; Chapter 3. Selectors for upper semi-continuous functions with non-empty compact values; Chapter 4. Selectors for compact sets; Chapter 5. Applications; Chapter 6. Selectors for upper semi-continuous set-valued maps with nonempty values that are otherwise arbitrary; Chapter 7. Further applications; Bibliography; Index.
摘要:Though the search for good selectors dates back to the early twentieth century, selectors play an increasingly important role in current research. This book is the first to assemble the scattered literature into a coherent and elegant presentation of what is known and proven about selectors--and what remains to be found. The authors focus on selection theorems that are related to the axiom of choice, particularly selectors of small Borel or Baire classes. After examining some of the relevant work of Michael and Kuratowski & Ryll-Nardzewski and presenting background material, the text constructs.
