### Some articles on *cofinite topology, topology*:

Cofiniteness -

... The double-pointed

**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 ... An example of a countable double-pointed**cofinite topology**is the set of even and odd integers, with a**topology**that groups them together ... 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 topologically indistinguishable ...T

... Sierpinski space is a simple example of a

_{1}Space - Examples... Sierpinski space is a simple example of a

**topology**that is T0 but is not T1 ... The overlapping interval**topology**is a simple example of a**topology**that is T0 but is not T1 ... The**cofinite topology**on an infinite set is a simple example of a**topology**that is T1 but is not Hausdorff (T2) ...Main Site Subjects

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