Fully closed mappings and their applications

This survey is devoted to the theory of fully closed mappings and their applications. The theoretical part includes a systematic study of relations between fully closed mappings and fiber products, inverse systems, and resolutions. The projective properties of fully closed mappings are studied. The applications are largely related to dimension and cardinal functions. The results are mainly due to the author and his students. __________ Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 9, No. 4, pp. 105–235, 2003.