This work is a continuation of the first volume published by Springer in
2011, entitled "A Cp-Theory Problem Book: Topological and Function
Spaces." The first volume provided an introduction from scratch to
Cp-theory and general topology, preparing the reader for a professional
understanding of Cp-theory in the last section of its main text. This
present volume covers a wide variety of topics in Cp-theory and general
topology at the professional level bringing the reader to the frontiers
of modern research. The volume contains 500 problems and exercises with
complete solutions. It can also be used as an introduction to advanced
set theory and descriptive set theory. The book presents diverse topics
of the theory of function spaces with the topology of pointwise
convergence, or Cp-theory which exists at the intersection of
topological algebra, functional analysis and general topology. Cp-theory
has an important role in the classification and unification of
heterogeneous results from these areas of research. Moreover, this book
gives a reasonably complete coverage of Cp-theory through 500 carefully
selected problems and exercises. By systematically introducing each of
the major topics of Cp-theory the book is intended to bring a dedicated
reader from basic topological principles to the frontiers of modern
research.