Homology theory in the \(AST\). III: Comparison with homology theories of Čech and Vietoris. (English) Zbl 0798.55005

Guričan, Jaroslav

Commentat. Math. Univ. Carol. 34, No. 1, 11-22 (1993).

Summary: [For the two preceding parts see ibid. 32, No. 1, 75-93 (1991; Zbl 0735.03032) and 33, No. 2, 353-372 (1992; Zbl 0761.55004).]
The isomorphism between our homology functor and those of Vietoris and Čech is proved. Introductory results on dimension are proved.

MSC:

55N35	Other homology theories in algebraic topology
20F99	Special aspects of infinite or finite groups

Keywords:

alternative set theory; set-definable; homology theory; simplex; complex; Sd-IS of groups

Citations:

Zbl 0735.03032; Zbl 0761.55004