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.

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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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     title = {Homology theory in the {AST} {III.} {Comparison} with homology theories of {\v{C}ech} and {Vietoris}},
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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/