Axiomatic Sheaf Cohomology Theories
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Bachelor Thesis
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Abstract
The aim of this thesis is to define and use the notion of a sheaf to define cohomology theories. These sheaf cohomology theories will be defined in an axiomatic way and then showed to be unique. Then a few of such cohomology theories will be defined, such as Cech, de Rham and Singular and these theories will be related to classical definitions of cohomology.
Keywords
cohomology, sheaf, algebraic topology, Cech, de Rham