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In the paper there are invesigated the core topology, τ_1, the directional topology, τ_2, the Klee topology, τ_3, and the finite topology, τ_0, as well as the generalizations τ1(n), τ2(n) and τ3(n) of τ1, τ2 and τ3, respectively. These generalizations are obtained when in the definition of a given topology the condition concerning straight lines is replaced by the analogous condition concerning linear...
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