I'm looking for a continuous bijection from a compact space to a non-Hausdorff topological space which isn't a homeomorphism. Since the identity $f:\mathbb{Z}\rightarrow\mathbb{Z},\ x\rightarrow x$ is bijective and any regular map of varieties is continuous in the Zariski topology, could this be a candidate?
2026-05-05 10:14:22.1777976062
Homeomorphisms on Zariski topologies
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