The cell-like approximation theorem of R. D. Edwards characterizes the n-manifolds precisely as the resolvable ENR homology n-manifolds with the disjoint disks property for 5 ≤ n < ∞. Since no proof for the n = 5 case has ever been published, we provide the missing details about the proof of the cell-like approximation theorem in dimension 5.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm197-0-5,
author = {Robert J. Daverman and Denise M. Halverson},
title = {The cell-like approximation theorem in dimension 5},
journal = {Fundamenta Mathematicae},
volume = {193},
year = {2007},
pages = {81-121},
zbl = {1133.57013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm197-0-5}
}
Robert J. Daverman; Denise M. Halverson. The cell-like approximation theorem in dimension 5. Fundamenta Mathematicae, Tome 193 (2007) pp. 81-121. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm197-0-5/