Postnikov towers are a method used in algebraic topology to break down a space into simpler pieces that can be more easily studied, specifically by utilizing fibrations and Eilenberg-MacLane spaces. Each stage of a Postnikov tower captures certain cohomological information about the space, which helps in understanding its overall structure and properties through successive approximations. This concept is particularly useful for analyzing the cohomology of spaces, allowing us to connect homotopy theory with cohomological techniques.
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