Open AccessHIMPUNAN KUBIK ASIKLIK DAN KUBUS DASAR
Author(s) -
Wiwi Ulmayani
Publication year - 2013
Publication title -
jurnal matematika unand/jurnal matematika unand
Language(s) - English
Resource type - Journals
eISSN - 2721-9410
pISSN - 2303-291X
DOI - 10.25077/jmu.2.4.43-49.2013
Subject(s) - combinatorics , homology (biology) , cube (algebra) , mathematics , group (periodic table) , physics , algebra over a field , pure mathematics , chemistry , quantum mechanics , amino acid , biochemistry
Given a topological space X. Then define an algebra object H∗ (X) whichis called the homology group of X. H∗ (X) is the collection the kth homology group ofX which is denoted by Hk(X). An elementary cube Q is a finite product of elementaryintervals I = [l, l + 1] or I = [l, l], for some l ∈ Z. In this paper, it is proved that allelementary cubes are acyclic, which means that Hk(Q) is isomorphic to Z if k = 0, andHk(Q) is isomorphic to 0 if k > 0.