We construct 4k-dimensional generalized manifolds, for k greater than 1, which have no resolutions. The construction proceeds as in a paper of Bryant, Ferry, Mio and Weinberger, Ann. of Math. 143 (1996), but does not use their controlled (\epsilon, \delta)-surgery sequence.
On the construction of 4k-dimensional generalized manifolds / Cavicchioli, Alberto; F., Hegenbarth; D., Repovs. - STAMPA. - 2:(2003), pp. 103-124. ((Intervento presentato al convegno High-Dimensional Manifold Topology tenutosi a ICTP, Trieste, Italy nel 21 May-8 June 2001.
On the construction of 4k-dimensional generalized manifolds
CAVICCHIOLI, Alberto;
2003
Abstract
We construct 4k-dimensional generalized manifolds, for k greater than 1, which have no resolutions. The construction proceeds as in a paper of Bryant, Ferry, Mio and Weinberger, Ann. of Math. 143 (1996), but does not use their controlled (\epsilon, \delta)-surgery sequence.
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