Pointed Cofinite Topology

Some articles on pointed cofinite topology, cofinite topology, topology:

Cofiniteness - Cofinite Topology - Double-pointed Cofinite Topology
... The double-pointed cofinite topology is the cofinite topology with every point doubled that is, it is the topological product of the cofinite topology with the indiscrete topology ... An example of a countable double-pointed cofinite topology is the set of even and odd integers, with a topology that groups them together ... sets of X are generated by finite intersections, that is, for finite A, the open sets of the topology are The resulting space is not T0 (and hence not T1), because the points x and x + 1 (for x even) are ...

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