Timeline for representing an uncountable free group as a union of an increasing sequence of countable subgroups
Current License: CC BY-SA 4.0
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Jul 6, 2018 at 10:33 | comment | added | Stefan Mesken | @Tri Let me add that this hasn't anything to do with groups (as you expected and Will's proof demonstrates). Any two increasing, continuous sequences (cumulative hierarchies) with a length whose cofinality is strictly bigger than the cardinality of any of their components that have the same union exhibit this property. | |
Jul 6, 2018 at 5:26 | history | answered | Will Sawin | CC BY-SA 4.0 |