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Timeline for Convergence in LB-spaces

Current License: CC BY-SA 4.0

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May 29, 2020 at 19:40 comment added ABIM But why do we need Prop. 4? Isn't the fact that $f \in X_n$, the fact that $X_n$ is closed, and Prop. 2 enough?
May 29, 2020 at 6:10 comment added Jochen Wengenroth If you mean by eventually stuck on one of the steps that there is a step which contains all but finitely many terms of the sequence then there is another step containing all terms of the sequence.
May 28, 2020 at 21:17 comment added ABIM I gave this some thought and I wonder, this means that eventually the sequence is stuck on one of the steps and not that it must always lie on the same step. No?
May 13, 2020 at 12:28 vote accept ABIM
May 13, 2020 at 11:29 history answered Jochen Wengenroth CC BY-SA 4.0