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    Affine Algebraic Sets and Topologies

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    1. Show that affine algebraic sets satisfy the axioms for the closed sets of a topology, i.e. show that the intersection of an arbitrary collection of algebraic sets is algebraic and the union of two algebraic sets is algebraic.

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    https://brainmass.com/math/geometry-and-topology/affine-algebraic-sets-topologies-110797

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    Proof:
    First, I claim that the intersection of an arbitrary collection of algebraic sets is algebraic.
    Suppose is an ...

    Solution Summary

    Affine Algebraic Sets and Topologies are investigated. The collection of algebraic sets is algebraic and the union of two algebraic sets is algebraic.

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