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370 while part 3 of Lemma \ref{basic_adaptation_lemma} says that the restrictions to $I\times Q_i$ are in $G_k$. |
370 while part 3 of Lemma \ref{basic_adaptation_lemma} says that the restrictions to $I\times Q_i$ are in $G_k$. |
371 \end{proof} |
371 \end{proof} |
372 |
372 |
373 \medskip |
373 \medskip |
374 |
374 |
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375 Topological (merely continuous) homeomorphisms are conspicuously absent from the |
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376 list of classes of maps for which the above lemma hold. |
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377 The $k=1$ case of Lemma \ref{basic_adaptation_lemma} for plain, continuous homeomorphisms |
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378 is more or less equivalent to Corollary 1.3 of \cite{MR0283802}. |
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379 We suspect that the proof found in \cite{MR0283802} of that corollary can be adapted to many-parameter families of |
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380 homeomorphisms, but so far the details have alluded us. |
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381 |
375 |
382 |
376 %%%%%% Lo, \noop{...} |
383 %%%%%% Lo, \noop{...} |
377 \noop{ |
384 \noop{ |
378 |
385 |
379 \medskip |
386 \medskip |