ABSTRACT
This chapter shows that closure in a metric space generally amounts to measuring the size of the sets which can be approximated in the topology in question. It gives closed subspaces in terms of closure for actual approximations in Morrey spaces as well as canonical approximations. The chapter considers a special subspace which fails to enjoy the lattice property and investigates the mutual relationship between them. It deals with closed subspaces of Morrey spaces. The chapter investigates how to approximate Morrey functions by using other function spaces. Given a Morrey function, it discusses whether the function is (canonically) approximated in the topology of Morrey spaces.
