  In a previous paper the authors elaborated notions and technique which could
be applied to compute such invariants of polynomials as Euler characteristics
of fibres and zeta-functions of monodromy transformations associated with a
polynomial. Some crucial basic properties of the notions related to the
topology of meromorphic germs were not discussed there. This has produced some
lack of understanding of the general constructions. The aim of this note is to
partially fill in this gap. At the same time we describe connections with some
previous results and generalizations of them.
