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Sheet 9, exercise 4
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Josia Pietsch 2024-01-06 19:04:51 +01:00
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6
bibliography/references.bib
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@ -6,6 +6,12 @@
urldate = {2024-01-01}, urldate = {2024-01-01},
year = {2008}, year = {2008},
} }
@misc{coanalyticranks,
AUTHOR = {Christian Rosendal},
URL = {https://homepages.math.uic.edu/~rosendal/WebpagesMathCourses/MATH511-notes/DST%20notes%20-%20CoanalyticRanks05.pdf},
TITLE = {MATH511 - 5. Coanalytic Ranks and the Reflection Theorems},
YEAR = {2012},
}
@MISC{801106, @MISC{801106,
TITLE = {Closure of a topological group}, TITLE = {Closure of a topological group},
AUTHOR = {Mariano Suarez-Alvarez}, AUTHOR = {Mariano Suarez-Alvarez},

2
inputs/lecture_18.tex
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@ -108,7 +108,7 @@ This will follow from the following lemma:
is continuous. is continuous.
Since $T_n$ is compact, Since $T_n$ is compact,
we have that $\{(x,t) \mapsto tx : t \in T_n\}$ we have that $\{(x,t) \mapsto tx : t \in T_n\}$
is equicontinuous. is equicontinuous.\todo{Sheet 11}
So there is $\epsilon > 0$ such that So there is $\epsilon > 0$ such that
$d(x_1,x_2) < \epsilon \implies d(tx_1, tx_2) < a -b$ $d(x_1,x_2) < \epsilon \implies d(tx_1, tx_2) < a -b$
for all $t \in T_n$. for all $t \in T_n$.

3
inputs/tutorial_10.tex
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@ -197,5 +197,6 @@ In fact we have shown
\nr 4 \nr 4
\todo{Next time} A solution can be found in \cite{coanalyticranks}.
% TODO Copy relevant points