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Embeddings of Compacta with Shape Dimension in the Trivial Range

Embeddings of Compacta with Shape Dimension in the Trivial Range

In this paper a loop condition is defined which generalizes the cellularity criterion and applies to compacta with nontrivial shape.It is shown that if A", fc E", n > 5, are compacta which satisfy this loop condition and whose shape classes include a space having dimension in the trivial range …