Fundamental groups, homology equivalences and one-sided h-cobordisms
arXiv:1301.6869 · doi:10.1007/s11425-014-4967-z
Abstract
We give a sufficient and necessary condition of the fundamental group homomorphism of a map between manifolds to induce homology equivalences. Moreover, a classification of one-sided h-cobordism of manifolds up to diffeomorphisms is obtained, based on Quillen's plus construction with Whitehead torsions.
to appear in Science China Mathematics
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