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Wiwi Ulmayani
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Computer Science & IT Mathematics

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HIMPUNAN KUBIK ASIKLIK DAN KUBUS DASAR Wiwi Ulmayani
Jurnal Matematika UNAND Vol 2, No 4 (2013)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.2.4.43-49.2013

Abstract

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.
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