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	<title>Comments on: Hilbert&#8217;s fifth problem and related topics</title>
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	<description>Updates on my research and expository papers, discussion of open problems, and other maths-related topics.  By Terence Tao</description>
	<lastBuildDate>Thu, 23 May 2013 14:18:37 +0000</lastBuildDate>
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		<title>By: Small doubling in groups &#171; What&#8217;s new</title>
		<link>http://terrytao.wordpress.com/books/hilberts-fifth-problem-and-related-topics/#comment-215445</link>
		<dc:creator><![CDATA[Small doubling in groups &#171; What&#8217;s new]]></dc:creator>
		<pubDate>Fri, 01 Feb 2013 18:19:58 +0000</pubDate>
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		<description><![CDATA[[...] abelian case is discussed in this book of mine with Vu, and the nonabelian case discussed in this more recent book of mine), but instead focuses on the statements of the various known results, as well as some remaining [...]]]></description>
		<content:encoded><![CDATA[<p>[...] abelian case is discussed in this book of mine with Vu, and the nonabelian case discussed in this more recent book of mine), but instead focuses on the statements of the various known results, as well as some remaining [...]</p>
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	<item>
		<title>By: Mads Sørensen</title>
		<link>http://terrytao.wordpress.com/books/hilberts-fifth-problem-and-related-topics/#comment-135753</link>
		<dc:creator><![CDATA[Mads Sørensen]]></dc:creator>
		<pubDate>Fri, 30 Mar 2012 07:54:18 +0000</pubDate>
		<guid isPermaLink="false">http://terrytao.wordpress.com/?page_id=5826#comment-135753</guid>
		<description><![CDATA[Typographical suggestions:

P. 5, l. 5 in the proof:
The $latex U$&#039;s in $latex U_{n_{k}}$ shouldn&#039;t be in italic mode.

P. 6, l. 2 in exercise 1.1.4:
The $latex O$&#039;s in $latex O_{n}(\mathbf{R})$ shouldn&#039;t be in italic mode.

P. 8, l. 1 after the two times two matrix:
Is the $latex U$&#039;s in $latex U_{1}(\mathbf{C})$ supposed to be in italic mode?

P. 17, footnote 4:
Use \dots instead of &quot;...&quot; and remember a comma after the definition of the group G_{3}.

In general:
When typing a map, use \colon instead of a normal colon. (The spacing is incorrect.) Also, use \coloneqq from the mathtools package instead of &quot;:=&quot;.

&lt;i&gt;[Thanks, this will be incorporated into the next revision of the ms. -T.]&lt;/i&gt;]]></description>
		<content:encoded><![CDATA[<p>Typographical suggestions:</p>
<p>P. 5, l. 5 in the proof:<br />
The <img src='http://s0.wp.com/latex.php?latex=U&amp;bg=ffffff&amp;fg=545454&amp;s=0' alt='U' title='U' class='latex' />&#8216;s in <img src='http://s0.wp.com/latex.php?latex=U_%7Bn_%7Bk%7D%7D&amp;bg=ffffff&amp;fg=545454&amp;s=0' alt='U_{n_{k}}' title='U_{n_{k}}' class='latex' /> shouldn&#8217;t be in italic mode.</p>
<p>P. 6, l. 2 in exercise 1.1.4:<br />
The <img src='http://s0.wp.com/latex.php?latex=O&amp;bg=ffffff&amp;fg=545454&amp;s=0' alt='O' title='O' class='latex' />&#8216;s in <img src='http://s0.wp.com/latex.php?latex=O_%7Bn%7D%28%5Cmathbf%7BR%7D%29&amp;bg=ffffff&amp;fg=545454&amp;s=0' alt='O_{n}(&#92;mathbf{R})' title='O_{n}(&#92;mathbf{R})' class='latex' /> shouldn&#8217;t be in italic mode.</p>
<p>P. 8, l. 1 after the two times two matrix:<br />
Is the <img src='http://s0.wp.com/latex.php?latex=U&amp;bg=ffffff&amp;fg=545454&amp;s=0' alt='U' title='U' class='latex' />&#8216;s in <img src='http://s0.wp.com/latex.php?latex=U_%7B1%7D%28%5Cmathbf%7BC%7D%29&amp;bg=ffffff&amp;fg=545454&amp;s=0' alt='U_{1}(&#92;mathbf{C})' title='U_{1}(&#92;mathbf{C})' class='latex' /> supposed to be in italic mode?</p>
<p>P. 17, footnote 4:<br />
Use \dots instead of &#8220;&#8230;&#8221; and remember a comma after the definition of the group G_{3}.</p>
<p>In general:<br />
When typing a map, use \colon instead of a normal colon. (The spacing is incorrect.) Also, use \coloneqq from the mathtools package instead of &#8220;:=&#8221;.</p>
<p><i>[Thanks, this will be incorporated into the next revision of the ms. -T.]</i></p>
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	<item>
		<title>By: Hilbert’s fifth problem and related topics &#171; What&#8217;s new</title>
		<link>http://terrytao.wordpress.com/books/hilberts-fifth-problem-and-related-topics/#comment-135360</link>
		<dc:creator><![CDATA[Hilbert’s fifth problem and related topics &#171; What&#8217;s new]]></dc:creator>
		<pubDate>Tue, 27 Mar 2012 19:00:34 +0000</pubDate>
		<guid isPermaLink="false">http://terrytao.wordpress.com/?page_id=5826#comment-135360</guid>
		<description><![CDATA[[...] finished the first draft of the the first of my books based on my 2011 blog posts, entitled “Hilbert&#8217;s fifth problem and related topics“, based on the lecture notes for my graduate course of the same name.    The PDF of this draft [...]]]></description>
		<content:encoded><![CDATA[<p>[...] finished the first draft of the the first of my books based on my 2011 blog posts, entitled “Hilbert&#8217;s fifth problem and related topics“, based on the lecture notes for my graduate course of the same name.    The PDF of this draft [...]</p>
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