... Scientific Lecture Notes in Physics - Vol 61 Modern Differential Geometry for Physicists Second Edition Chris J lsham Theoretical Phvsics G r o w Imperial College of Science, fechnology and Medicine ... significance that many of these are metric spaces For example, let C ( [ ab],R)denote the space of all , real-valued, continuous functions on the closed interval [a,b] := { T E R a T b } A metric can ... the second question, in which case the first important concept is the following: Definition 1.6 If a,,O c P(X ), the collection ,O of subsets of X is finer than the collection cy if, for each A...