We study various concepts of peripheral acyclicity and local homotopical properties, generalizing and extending earlier work due to R.C. Lacher, D.R. McMillan jr. and the authors. Then we obtain some applications for cell-like decompositions of manifolds and construct exotic factors (i.e., homology manifolds) of certain Euclidean spaces.
Peripheral acyclicity and homology manifolds / Cavicchioli, Alberto; Repovs, D.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 172:(1997), pp. 5-24.
Peripheral acyclicity and homology manifolds
CAVICCHIOLI, Alberto;
1997
Abstract
We study various concepts of peripheral acyclicity and local homotopical properties, generalizing and extending earlier work due to R.C. Lacher, D.R. McMillan jr. and the authors. Then we obtain some applications for cell-like decompositions of manifolds and construct exotic factors (i.e., homology manifolds) of certain Euclidean spaces.
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