IT IS now known that the addition of fillers to polymers, especially rubbers, results in additional network formation. In our earlier studies [1-3] we examined the effect of a filler on structure formation in thermoplastic polymers. Study of the special features of structure formation in the case where formation of the polymer takes place simultaneously with formation of the final material is of great interest. Investigation of the conditions of formation of a crosslinked polymer in the presence of a filler would be of great value, particularly to the production of reinforced plastics. We have previously shown that the structure of a linear polymer formed in the presence of a glass surface differs from the structure of the polymer produced in the absence of a filler [4, 5]. The aim of the present work was to discover some of the specific features of formation of a crosslinked polymer in the presence of glass powder of small particle size. A number of papers has been concerned with the s tudy of polymer networks formed in the presence of a filler [6-11]. The materials studied in these papers were exclusively vulcanizates of natural and synthetic rubbers--butadienestyrene, polyurethane etc. In these studies the kinetic theory of elasticity and the F lory-Rehner theory of swelling [12] formed the basis for investigation of the behaviour of the networks in the presence of a filler. By making use of the well known equation of the latter theory, and making a number of assumptions, it is possible to arrive at an estimate of the number of crosslink points in the network of the filled vulcanizate, and thus to estimate the number of additional points of crosslinking due to polymer-filler interaction. I t seemed of interest to apply the theory of the swelling of filled vulcanizates to the swelling of filled, erosslinked polymers that are not in the high-elastic state under the experimental conditions.