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Open AccessArticle10.4064/fm-146-2-153-158

Intersection topologies with respect to separable GO-spaces and the countable ordinals

Martin O. Jones-1995-01-01-Fundamenta Mathematicae

TL;DRAbstract

Given two topologies, $T_1$ and $T_2$, on the same set X, the intersection topology} with respect to $T_1$ and $T_2$ is the topology with basis ${U_1 ∩ U_2 :U_1 ∈ T_1, U_2 ∈ T_2}$. Equivalently, T is the join of $T_1$ and $T_2$ in the lattice of topologie

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Given two topologies, $T_1$ and $T_2$, on the same set X, the intersection topology} with respect to $T_1$ and $T_2$ is the topology with basis ${U_1 ∩ U_2 :U_1 ∈ T_1, U_2 ∈ T_2}$. Equivalently, T is the join of $T_1$ and $T_2$ in the lattice of topologie

Keywords

MathematicsSeparable spaceCountable setIntersection (aeronautics)Network topologyCombinatoricsLattice (music)Discrete mathematics

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