Geodesic
On enclosure homology
Sbornik. Mathematics, Tome 188 (1997) no. 2, pp. 299-306 
E. G. Sklyarenko. On enclosure homology. Sbornik. Mathematics, Tome 188 (1997) no. 2, pp. 299-306. http://geodesic.mathdoc.fr/item/SM_1997_188_2_a5/
@article{SM_1997_188_2_a5,
     author = {E. G. Sklyarenko},
     title = {On enclosure homology},
     journal = {Sbornik. Mathematics},
     pages = {299--306},
     year = {1997},
     volume = {188},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1997_188_2_a5/}
}
TY  - JOUR
AU  - E. G. Sklyarenko
TI  - On enclosure homology
JO  - Sbornik. Mathematics
PY  - 1997
SP  - 299
EP  - 306
VL  - 188
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1997_188_2_a5/
LA  - en
ID  - SM_1997_188_2_a5
ER  - 
%0 Journal Article
%A E. G. Sklyarenko
%T On enclosure homology
%J Sbornik. Mathematics
%D 1997
%P 299-306
%V 188
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1997_188_2_a5/
%G en
%F SM_1997_188_2_a5

Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the dimension-1 shift of the enclosure homology of a subspace that is a weak neighbourhood deformation retract is isomorphic to its connection homology between the subspace and its complement.

[1] Kartan A., Eilenberg S., Gomologicheskaya algebra, IL, M., 1960

[2] Godeman R., Algebraicheskaya topologiya i teoriya puchkov, IL, M., 1961

[3] Jensen C. U., Les foncteours dérivés de $\varprojlim$ et leurs applications en théorie des modules, Lect. Notes in Math., 254, 1972 | MR | Zbl

[4] Kuzminov V. I., “Proizvodnye funktory proektivnogo predela i klassy rasshirenii”, Sib. matem. zhurn., 12:2 (1971), 384–396 | MR | Zbl

[5] Sklyarenko E. G., “Nekotorye primeneniya funktora $\varprojlim^1$”, Matem. sb., 123:3 (1984), 369–390 | MR

[6] Sklyarenko E. G., “Gomologii i kogomologii obschikh prostranstv”, Itogi nauki i tekhniki. Sovrem. probl. matem. Fundam. napravl., 50, VINITI, M., 1989, 129–266 | MR

[7] Sklyarenko E. G., “Gomologii i kogomologii svyazi mezhdu mnozhestvami. Gomologii i kogomologii okruzheniya zamknutogo mnozhestva”, Izv. RAN. Ser. matem., 56:5 (1992), 1040–1071 | MR | Zbl

[8] Sklyarenko E. G., “Giper(ko)gomologii dlya tochnykh sleva kovariantnykh funktorov i teoriya gomologii topologicheskikh prostranstv”, UMN, 50:3 (1995), 109–146 | MR | Zbl