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Article

Guričan, Jaroslav
Homology theory in the AST III. Comparison with homology theories of Čech and Vietoris. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 1, pp. 11-22
MSC: 03E70, 20F99, 55N35 | MR 1240199 | Zbl 0798.55005
Keywords:
alternative set theory; set-definable; homology theory; simplex; complex; Sd-IS of groups
Summary:
The isomorphism between our homology functor and these of Vietoris and Čech is proved. Introductory result on dimension is proved.
Related articles:
Homology theory in the alternative set theory I. Algebraic preliminaries
Homology theory in the AST II. Basic concepts, Eilenberg-Steenrod's axioms
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