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Date: 27-5-2021
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Cohomology is an invariant of a topological space, formally "dual" to homology, and so it detects "holes" in a space. Cohomology has more algebraic structure than homology, making it into a graded ring (with multiplication given by the so-called "cup product"), whereas homology is just a graded Abelian group invariant of a space.
A generalized homology or cohomology theory must satisfy all of the Eilenberg-Steenrod axioms with the exception of the dimension axiom.
REFERENCES:
Rabson, D. A.; Huesman, J. F.; Fisher, B. N. "Cohomology for Anyone." Found. Phys. 33, 1769-1796, 2003.
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كيف تساهم الأطعمة فائقة المعالجة في تفاقم مرض يصيب الأمعاء؟
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مشروع ضخم لإنتاج الهيدروجين الأخضر يواجه تأخيرًا جديدًا
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المجمع العلمي يختتم دورته القرآنية في فن الصوت والنغم بالطريقة المصرية
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