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  "body": "\n## Example\n\nLet $X$ be a set and let $\\tau = \\{\\varnothing, X\\}$.\nThen $\\tau$ is a [[topology|0CNQXVBHCX]] on $X$, the indiscrete topology, also called the trivial topology.\n\n## Remarks\n\nIt is the coarsest topology on $X$.\nEach function from any topological space to an indiscrete space is [[continuous|0SY9ECQ19Q]].\nIn an indiscrete space, each sequence converges to each point. Thus, if $X$ has at least two points, the space is not [[Hausdorff|0MXB4CKHFW]] and not [[metrizable|09KDHB82SG]].\nEach indiscrete space is [[compact|0QPHW703PV]] and [[connected|0D939CMME7]].\n\n## Explanations\n\n### L1 human\n\nIn the indiscrete topology, the only open sets are the empty set and the whole space.\nThe topology cannot tell any two points apart.\n",
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