Description:
Definitions for form [14 AB]
Content:
Definitions for form [14 AB] (Tychonoff theorem for sober spaces).
Definition: A topological space is sober if every closed set \(C\neq\emptyset\) that is not the union of two proper closed (not necessarily disjoint) subsets (such a \(C\) is called irreducible) is the closure of a unique singleton.
In Hausdorff spaces, irreducible closed sets are singletons and therefore
Howard-Rubin number: 37
Type: Definitions
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