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<p>Creating course page via bot</p> <p><b>New page</b></p><div>{{Infobox Course<br /> | code = MTL728<br /> | name = Category Theory<br /> | credits = 3<br /> | credit_structure = 3-0-0<br /> | pre_requisites = <br /> | overlaps = <br /> }}<br /> <br /> == MTL728 : Category Theory ==<br /> Categories, functors and natural transformations, adjoints (of functors), representable functors, Yoneda Lemma and applications. Limits and colimits, interaction between functors and limits. Limits in Courses of Study 2024-2025 Mathematics 271terms of representables and adjoints, limits and colimits of presheaves, interaction between adjoint functors and limits. Application to abelian category: complexes of R-modules, long exact sequence, mapping cone and cylinder, projective and injective resolution, derived functors, right and left exactness, Ext and Tor. Concept of presheaf and sheaf, group scheme and Hopf algebra.</div>

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