Abstract
Certain contractible manifolds taken up to homeomorphism classify all possible shapes of metric compacta. The proof presented here is short and looks very different from Chapman's original one [2]. It suggests a way to study embeddings of shapes in finite dimensions beyond the trivial range.
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References
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Siebenmann, L. Chapman's classification of shapes a proof using collapsing. Manuscripta Math 16, 373–384 (1975). https://doi.org/10.1007/BF01323466
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DOI: https://doi.org/10.1007/BF01323466