Partition topology

In mathematics, the partition topology is a topology that can be induced on any set X by partitioning X into disjoint subsets P; these subsets form the basis for the topology. There are two important examples which have their own names:The odd–even topology is the topology where  and  Equivalently, .
The deleted integer topology  is defined by letting  and .


In mathematics, the partition topology is a topology that can be induced on any set X by partitioning X into disjoint subsets P; these subsets form the basis for the topology. There are two important examples which have their own names:The odd–even topology is the topology where and Equivalently, . The deleted integer topology is defined by letting and .
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