The dimension algebra of graded groups is introduced. With the help of known geometric results of extension theory that algebra induces all known results of the cohomological dimension theory. Elements of the algebra are equivalence classes dim(A) of graded groups A. There are two geometric interpretations of those equivalence classes: 1. For pointed CW… (More)
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Dranishnikov , On dimension of the product of two compacta and the dimension of their intersection in general position in Euclidean space ,
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Extension theory of separable metrizable spaces with applications to dimension theory ,