Approximation of k-dimensional maps

Mathematics – General Topology

Scientific paper

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Accepted in Topology And It's Applications

Scientific paper

In this paper we prove the equivalence of the questions of B.A. Pasynkov and
V.V. Uspenskij. We also get some partial results answering these questions in
affirmative. As a corollary to these results we get an extention of the
Hurewicz formula to the extensional dimension.

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