Translation examples
Kohomologia esiintyy homologian konstruoinnin algebrallisena duaalina.
Cohomology arises from the algebraic dualization of the construction of homology.
Itse asiassa singulaarisen homologian teoria perustuu ratkaisevasti juuri tähän seikkaan.
Indeed, the construction of the singular homology rests critically on this fact.
De Rham osoitti, että kaikki nämä lähestymistavat liittyvät toisiinsa ja että suljetulle, suunnistetulle monistolle homologiasta johdettu Bettin luku on sama kuin de Rhamin kohomologiasta johdettu Bettin luku.
De Rham showed that all of these approaches were interrelated and that, for a closed, oriented manifold, the Betti numbers derived through simplicial homology were the same Betti numbers as those derived through de Rham cohomology.
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