A t0 space, also known as a Kolmogorov space, is a type of topological space where for any two distinct points, there exists an open set that contains one of the points but not the other. This property ensures that points can be 'separated' by open sets, which is fundamental in understanding how different topological spaces behave. The concept of t0 spaces lays the groundwork for exploring more advanced separation axioms within topology.
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