Partition topology
id:
partition-topology-308-13794024
title:
Partition topology
text:
In mathematics, a 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 X = N and P = { { 2 k − 1 , 2 k } : k ∈ N } . Equivalently, P = { { 1 , 2 } , { 3 , 4 } , { 5 , 6 } , … } . The deleted integer topology is defined by letting X = ⋃ n ∈ N ⊆ R and P = { , , , … } . The trivial partiti
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https://en.wikipedia.org/wiki/Partition_topology
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date modified:
2023-11-28T18:58:18Z
main entity:
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