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Timeline for A map of non-pathological topology?

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Jun 8, 2019 at 14:02 comment added Tim Porter Some of the 'islands' are very close to each other, so the analogy of a map has its limitations. Any compact metric (CM) space can be thought of as sitting in the Hilbert cube, and then it can be thought of as an intersection of polyhedral neighbourhoods so although CM spaces can be pathological from some points of view they are sort of infinitely near the polyhedral space island!!! It would be fun to try to extend the map with bridges between islands, (perhaps adjoint functors might serve for this) and then talk of reefs that are almost above sea level, etc.
Jun 8, 2019 at 9:21 history edited Tim Porter CC BY-SA 4.0
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Jun 6, 2019 at 5:36 history answered Tim Porter CC BY-SA 4.0