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 <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper X comma upper Y subset-of upper E Superscript n Baseline comma n greater-than-or-slanted-equals 5"> <mml:semantics> <mml:mrow> <mml:mi>X</mml:mi> <mml:mo>,</mml:mo> <mml:mi>Y</mml:mi> <mml:mo>⊂<!-- …