Topologies on X as points within 2P(X)


AbstractA topology on a nonempty set X specifies a natural subset of P(X). By identifying P(P(X)) with the totally disconnected compact Hausdorff space 2P(X), the lattice Top(X) of all topologies on X is a natural subspace therein. We investigate topological properties of Top(X) and give sufficient model-theoretic conditions for a general subspace of 2P(X) to be compact

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Elsevier - Publisher Connector

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Last time updated on 4/28/2017View original full text link

This paper was published in Elsevier - Publisher Connector .

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