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Pointless topology
Y? 67%
topological approach that uses lattices of opens as a primitive notion rather than a set of points
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Kind of neat but I don't see the point...

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Y? 67%
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In mathematics, pointless topology, also called point-free topology (or pointfree topology) and locale theory, is an approach to topology that avoids mentioning points, and in which the lattices of open sets are the primitive notions. In this approach it becomes possible to construct topologically interesting spaces from purely algebraic data.