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Published online by Cambridge University Press: 20 November 2018
Given a class of topological spaces and a class
of mappings of topological spaces, the
-résolvant of
is denned to be the class
of topological spaces all of whose
-images lie in
. Whenever
is closed under composition and includes identity maps,
is easily seen to be the largest class of spaces smaller than
which is closed under
-images.