We present a characterization of those open n-manifolds (n ≥ 5) whose products with the real line are homeomorphic to interiors of compact (n+1)-manifolds with boundary.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm197-0-8, author = {Craig R. Guilbault}, title = {Products of open manifolds with $\mathbb{R}$}, journal = {Fundamenta Mathematicae}, volume = {193}, year = {2007}, pages = {197-214}, zbl = {1136.57010}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm197-0-8} }
Craig R. Guilbault. Products of open manifolds with ℝ. Fundamenta Mathematicae, Tome 193 (2007) pp. 197-214. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm197-0-8/