Article ID Journal Published Year Pages File Type
4659022 Topology and its Applications 2013 7 Pages PDF
Abstract
In Fedorchuk (2012) [1] dimensions (m,n)-dim were introduced. Here we define more general invariant (m,K)-dim (K is a simplicial subcomplex of (m−1)-dimensional simplex Δm−1) and prove that this dimension can be defined by means of extensions of mappings. We give also several equivalent definitions of dimensions (m,n)-dim.
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Physical Sciences and Engineering Mathematics Geometry and Topology
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