@article{RM_1979_34_6_a13,
author = {E. G. Sklyarenko},
title = {On~homology theory associated with the {Aleksandrov{\textendash}\v{C}ech} cohomology},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {103--137},
year = {1979},
volume = {34},
number = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_1979_34_6_a13/}
}
E. G. Sklyarenko. On homology theory associated with the Aleksandrov–Čech cohomology. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 34 (1979) no. 6, pp. 103-137. http://geodesic.mathdoc.fr/item/RM_1979_34_6_a13/
[1] P. S. Aleksandrov, Topologicheskie teoremy dvoistvennosti. 2, Trudy matem. in-ta im. V. A. Steklova, 54, 1959 | MR | Zbl
[2] V. Bartik, “Normalnye kogomologii Aleksandrova–Chekha”, Trudy Tbilisskogo matem. in-ta, 59 (1978), 20–49 | MR | Zbl
[3] E. M. Veniaminov, E. G. Sklyarenko, “O lokalnykh gruppakh kogomologii”, DAN, 176:5 (1967), 987–990
[4] E. M. Veniaminov, “Universalnoe svoistvo gomologii Deevelya”, Matem. sb., 84 (1971), 66–80
[5] E. M. Veniaminov, “Spektralnaya posledovatelnost nepreryvnogo otobrazheniya i pokrytiya dlya gomologii Deevelya”, Matem. sb., 88 (1972), 211–217
[6] R. Godeman, Algebraicheskaya topologiya i teoriya puchkov, IL, M., 1961
[7] A. Dold, Lektsii po algebraicheskoi topologii, Mir, M., 1976 | MR
[8] X. N. Inasaridze, “O tochnoi gomologii”, Trudy Tbilisskogo matem. in-ta, 41 (1972), 128–142 | MR
[9] V. I. Kuzminov, I. A. Shvedov, “O gomologiyakh, porozhdaemykh kogomologicheskimi funktorami”, DAN, 200:4 (1971), 764–766 | MR
[10] V. I. Kuzminov, I. A. Shvedov, “Kvazitochnye posledovatelnosti kompleksov i gipergomologii”, SMZh, 14:4 (1973), 791–805 | MR
[11] V. I. Kuzminov, I. A. Shvedov, “Spektry pokrytii v teorii kogomologii i gomologii topologicheskikh prostranstv”, SMZh, 15:5 (1974), 1083–1102 | MR
[12] V. I. Kuzminov, I. A. Shvedov, “Gipergomologii predela pryamogo spektra kompleksov i gruppy gomologii topologicheskikh prostranstv”, SMZh, 16:1 (1975), 62–74 | MR
[13] S. Lefshets, Algebraicheskaya topologiya, IL, M., 1949
[14] L. D. Mdzinarishvili, “Ob ekvivalentnosti gomologicheskikh teorii Kolmogorova i Stinroda”, Trudy Tbilisskogo matem. in-ta, 41 (1973), 143–163 | Zbl
[15] S. V. Petkova, “Ob aksiomakh teorii gomologii”, DAN, 204:3 (1972), 557–560 | MR | Zbl
[16] S. V. Petkova, “Ob aksiomakh teorii gomologii”, Matem. sb., 90:4 (1973), 607–624 | MR | Zbl
[17] S. V. Petkova, “Prostranstva s konechnoporozhdennymi gomologiyami i kogomologiyami”, Serdika matem. spisanie, 3 (1977), 349–358 | MR | Zbl
[18] K. A. Sitnikov, “Zakon dvoistvennosti dlya nezamknutykh mnozhestv”, DAN, 81 (1951), 359–362 | MR | Zbl
[19] E. G. Sklyarenko, “O predstavlenii beskonechnomernykh kompaktov v vide obratnogo predela poliedrov”, DAN, 134:4 (1960), 773–775 | Zbl
[20] E. G. Sklyarenko, “Teoriya gomologii i aksioma tochnosti”, UMN, 24:5 (1969), 87–140 | MR | Zbl
[21] E. G. Sklyarenko, “K teorii obobschennykh mnogoobrazii”, Izv. AN, ser. matem., 35 (1971), 831–843 | MR | Zbl
[22] E. G. Sklyarenko, “Teoremy edinstvennosti v teorii gomologii”, Matem. sb., 85 (1971), 201–223 | MR | Zbl
[23] E. Spener, Algebraicheskaya topologiya, Mir, M., 1971 | MR
[24] N. Stinrod, S. Eilenberg, Osnovaniya algebraicheskoi topologii, fizmatgiz, M.
[25] A. E. Kharlap, “Lokalnye gomologii i kogomologii, gomologicheskaya razmernost i obobschennye mnogoobraziya”, Matem. sb., 96:3 (1975), 347–373 | Zbl
[26] D. Khyuzmoller, Rassloennye prostranstva, Mir, M., 1970
[27] G. S. Chogoshvili, “On the homology theory of topological spaces”, Soobsch. AN Gruz. SSR, 1 (1940), 337–340 | MR | Zbl
[28] Ph. Bacon, “Axioms for the Cech cohomology of paracompacta”, Pacif. J. Math., 52:1 (1974), 7–9 | MR | Zbl
[29] M. G. Barrat, J. Milnor, “An example of anomalous singular homology”, Proc. Amer. Math. Soc., 13:2 (1962), 293–297 | DOI | MR | Zbl
[30] M. G. Barrat, “Note on anomalous singular torsion groups”, Quart. J. Math., 13:49 (1962), 75–79 | DOI | MR | Zbl
[31] A. Borel, Seminar on transformation groups, Ann. of Math. Studies, 46, 1960 | MR | Zbl
[32] A. Borel, J. C. Moore, “Homology theory for locally compact spaces”, Mich. Math. J., 7 (1960), 137–160 | DOI | MR
[33] G. E. Bredon, Sheaf theory, Mc Graw-Hill, New York, 1967 | MR
[34] R. Deheuvels, “Homologies des ensembles ordonnes et des espaces topologiques”, Bull. Soc. Math. France, 90:2 (1962), 261–321 | MR | Zbl
[35] A. Dold, “Zur Homotopietheorie der Ketten komplexe”, Math. Ann., 140 (1960), 278–298 | DOI | MR | Zbl
[36] S. Eilenberg, S. Maclane, “Groups extensions and homology”, Ann. of Math., 43:4 (1942), 757–831 | DOI | MR | Zbl
[37] S. Eilenberg, N. Steenrod, “Axiomatic approach to homology theory”, Proc. Nat. Acad. Sci., 31 (1945), 117–120 | DOI | MR | Zbl
[38] D. M. Hyman, “A category slightly larger than the metric and CW-categories”, Mich. Math. J., 15:2 (1968), 193–214 | DOI | MR | Zbl
[39] I. James, J. H. G. Whitehead, “Homology with zero coefficients”, Quart. J. Math., 9:36 (1958), 317–320 | DOI | MR | Zbl
[40] O. Jussila, On homology theories in locally connected spaces, Ann. Acad. Sci. Fenn., Ser. A, 340, 1964 | MR | Zbl
[41] W. S. Massey, Notes on homology and cohomology theory, Yale University, 1964, mimeographed
[42] W. S. Massey, “How to give an exposition of the Čech–Alexander–Spanier type homology theory”, Amer. Math. Mon., 85:2 (1978), 75–83 | DOI | MR | Zbl
[43] W. S. Massey, Homology and cohomology theory, Dekker, New York, 1978 | MR | Zbl
[44] J. Milnor, On the Steenrod homology theory, Berkeley, 1960, mimeographed
[45] J. Milnor, “On axomatic homology theory”, Pacif. J. Math., 12 (1962), 337–341 | MR | Zbl
[46] F. Raymond, “Local cohomology groups with closed supports”, Math. Z., 76:1 (1961), 31–41 | DOI | MR | Zbl
[47] J. E. Roos, “Sur les foncteurs derives de lim. Applications”, C. R. Acad. Sci., 252 (1961), 3702–3704 | MR | Zbl
[48] N. E. Steenrod, “Regular cycles of compact metric spaces”, Ann. of Math., 41 (1940), 833–851 | DOI | MR | Zbl