Abstract
We show that any topological pair with normally embedded subspace has the strong shape of a pair, such that the inclusion map of the subspace into the total space is a cofibration. Furthermore we prove that a strong shape morphism of pairs is a strong shape equivalence if and only if it operates as strong shape equivalence of the total spaces and of the subspaces considered separately.
Citation
Bernd Guenther. "Properties of normal embeddings concerning strong shape theory, Ⅱ." Tsukuba J. Math. 16 (2) 429 - 438, December 1992. https://doi.org/10.21099/tkbjm/1496161974
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