Sean Cotner Sean CotnerI am a third year graduate student at Stanford, advised by Brian Conrad. This user account status is Approved About About Posts Posts Comments Comments Lovely. I had a similar idea to get indiscrete spaces but implemented it in a rather complicated way; your construction… On What Topological Spaces are π₀? Beautiful construction for $\mathbf{R}$. To avoid the extra step of identifying points, one could also let $X = \mathbf{R}_{\geq 0}… On What Topological Spaces are π₀? Nice post. In the first two examples you give, the spaces are Hausdorff, while your general construction only gives non-Hausdorff… On What Topological Spaces are π₀? Ben, thanks for the correction and the example. Another way to see the equality you say is by noting that… On An example of a non-reduced Picard scheme