let $(X,\tau )$ be the topological space where $\tau =\{\emptyset, X, \{x\}, X-\{x\}\}$ , $ x \in X$.
Does this topology have a name? Thanks in advance!
2026-04-04 17:27:57.1775323677
Has this topology a name?
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Probably not, but it is the disjoint union of a one-point space and an indiscrete space (namely, $\{x\}$ and $X - \{x\}$).