The Sierpiński space is a basic example of a topological space in the field of topology. It is defined as a set \( S = \{ 0, 1 \} \) with a topology consisting of the following open sets: 1. The empty set \( \emptyset \) 2. The set \( S \) itself, which is \( \{ 0, 1 \} \) 3.

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