  In this paper we provide an exhaustive survey of the current state of the
mathematics of filtration enlargement and an interpretation of the key results
of the literature from the viewpoint of mathematical finance. The emphasis is
on providing a well-structured compendium of known mathematical results that
can be used by researchers in mathematical finance. We mainly state the results
and discuss their role and significance, with references provided for the
omitted proofs. The discussion of mathematical results is accompanied by
numerous examples from mathematical finance.
