Geodesic
Local homology and cohomology, homology dimension and generalized manifolds
Sbornik. Mathematics, Tome 25 (1975) no. 3, pp. 323-349

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In this paper the relationships between various kinds of local homology and cohomology are studied. Some local characteristics of homology dimension are established. It is shown that homology manifolds over countable rings automatically possess a number of properties ordinarily included in the definition. Bibliography: 25 titles. 
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     author = {A. \`E. Kharlap},
     title = {Local homology and cohomology, homology dimension and generalized manifolds},
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A. È. Kharlap. Local homology and cohomology, homology dimension and generalized manifolds. Sbornik. Mathematics, Tome 25 (1975) no. 3, pp. 323-349. http://geodesic.mathdoc.fr/item/SM_1975_25_3_a0/