[Merged by Bors] - feat(Topology.ProperMap): basic theory of proper maps #6005
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| /-- A map `f : X → Y` is closed if and only if for all sets `s`, any cluster point of `f '' s` is | ||
| the image by `f` of some cluster point of `s`. | ||
| If you require this for all filters instead of just principal filters, and also that `f` is | ||
| continuous, you get the notion of **proper map**. See `isProperMap_iff_clusterPt`. -/ |
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For the first time in my life, I think I now understand what a proper map is.
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Happy to see that I'm not the only one to find this parallel very satisfying 😃
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Co-authored-by: Oliver Nash <github@olivernash.org>
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