ABOUT DIMENSIONALITY OF CONTINUOUS REPRESENTATIONS

All the basic general characteriozations of the dimensionality dim (theorems about "compression" and "swollening" of finite covers, about omega -representations into polyhedrons, about sufficient representations for simplexes, about continuation of representations into spheres, about partitions, about dimensionality of ring rank for all the limited continuous functions on space) have been extended to the continuous representations in case of the spaces. The analogs of the theorems on the monotonity of dimensionity dim for spaces over the closed and C*99*-elongated subsets and also the finite theorem of sums have been determined for representations. The results can be used in the investigations on the fiber general topology and theory on the dimensionality of the continuous representationsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio