Sheet 9, exercise 4
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@ -6,6 +6,12 @@
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urldate = {2024-01-01},
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year = {2008},
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}
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@misc{coanalyticranks,
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AUTHOR = {Christian Rosendal},
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URL = {https://homepages.math.uic.edu/~rosendal/WebpagesMathCourses/MATH511-notes/DST%20notes%20-%20CoanalyticRanks05.pdf},
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TITLE = {MATH511 - 5. Coanalytic Ranks and the Reflection Theorems},
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YEAR = {2012},
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}
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@MISC{801106,
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TITLE = {Closure of a topological group},
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AUTHOR = {Mariano Suarez-Alvarez},
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@ -108,7 +108,7 @@ This will follow from the following lemma:
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is continuous.
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Since $T_n$ is compact,
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we have that $\{(x,t) \mapsto tx : t \in T_n\}$
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is equicontinuous.
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is equicontinuous.\todo{Sheet 11}
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So there is $\epsilon > 0$ such that
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$d(x_1,x_2) < \epsilon \implies d(tx_1, tx_2) < a -b$
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for all $t \in T_n$.
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@ -197,5 +197,6 @@ In fact we have shown
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\nr 4
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\todo{Next time}
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A solution can be found in \cite{coanalyticranks}.
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% TODO Copy relevant points
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