Geodesic
Homology theory in the AST III. Comparison with homology theories of Čech and Vietoris
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 1, pp. 11-22 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The isomorphism between our homology functor and these of Vietoris and Čech is proved. Introductory result on dimension is proved.
The isomorphism between our homology functor and these of Vietoris and Čech is proved. Introductory result on dimension is proved.
Classification : 03E70, 20F99, 55N35
Keywords: alternative set theory; set-definable; homology theory; simplex; complex; Sd-IS of groups 
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     author = {Guri\v{c}an, Jaroslav},
     title = {Homology theory in the {AST} {III.} {Comparison} with homology theories of {\v{C}ech} and {Vietoris}},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {11--22},
     year = {1993},
     volume = {34},
     number = {1},
     mrnumber = {1240199},
     zbl = {0798.55005},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_1993_34_1_a1/}
}
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Guričan, Jaroslav. Homology theory in the AST III. Comparison with homology theories of Čech and Vietoris. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 1, pp. 11-22. http://geodesic.mathdoc.fr/item/CMUC_1993_34_1_a1/