HIMPUNAN KUBIK ASIKLIK DAN KUBUS DASAR

Abstract

Given a topological space X. Then define an algebra object H∗ (X) which
is called the homology group of X. H∗ (X) is the collection the kth homology group of
X which is denoted by Hk(X). An elementary cube Q is a finite product of elementary
intervals I = [l, l + 1] or I = [l, l], for some l ∈ Z. In this paper, it is proved that all
elementary cubes are acyclic, which means that Hk(Q) is isomorphic to Z if k = 0, and
Hk(Q) is isomorphic to 0 if k > 0.