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E5

[0HT] Topics:accumulation point, maximum, direct ordering.Prerequisites:[06N], [0HS].

Find a simple example of a set \((J,≀)\) with direct ordering that has maximum but, when we associate to \(J\) the topology \(𝜏_ J\) of the previous example, \((J,𝜏_ J)\) has no accumulation points.

Solution 1

[0HV]

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  • space, topological
  • topological space
  • order, directed
  • accumulation point
  • maximum
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