Homology and cohomology of sets and their neighborhoods
Sbornik. Mathematics, Tome 21 (1973) no. 2, pp. 303-315

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In this work the author investigates the relationship between the homology of an inverse limit of spaces and the limit of the homology of the spaces (for an exact homology theory), and also the relationship of the cohomology of limits of certain pairs of spaces to the limit of the cohomology of the pairs. Applications of the results of these investigations are presented. Bibliography: 11 titles.
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     author = {V. G. Miryuk},
     title = {Homology and cohomology of sets and their neighborhoods},
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V. G. Miryuk. Homology and cohomology of sets and their neighborhoods. Sbornik. Mathematics, Tome 21 (1973) no. 2, pp. 303-315. http://geodesic.mathdoc.fr/item/SM_1973_21_2_a8/