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 <title>Open Problem Garden - Several ways to apply a (multivalued) multiargument function to a family of filters - Comments</title>
 <link>https://openproblemgarden.org/op/several_ways_to_apply_a_multivalued_multiargument_function_to_a_family_of_filters</link>
 <description>Comments for &quot;Several ways to apply a (multivalued) multiargument function to a family of filters&quot;</description>
 <language>en</language>
<item>
 <title>The error was more severe  (re: Several ways to apply a (multivalued) multiargument function to a family of filters)</title>
 <link>https://openproblemgarden.org/op/several_ways_to_apply_a_multivalued_multiargument_function_to_a_family_of_filters#comment-93635</link>
 <description>&lt;p&gt;The first item of the problem was entirely wrong. I removed it.&lt;/p&gt;
&lt;p&gt;-- Victor Porton - http://www.mathematics21.org&lt;/p&gt;
</description>
 <pubDate>Wed, 15 Jan 2020 05:13:15 +0100</pubDate>
 <dc:creator>porton</dc:creator>
 <guid isPermaLink="false">comment 93635 at https://openproblemgarden.org</guid>
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<item>
 <title>There was an error in the problem statement  (re: Several ways to apply a (multivalued) multiargument function to a family of filters)</title>
 <link>https://openproblemgarden.org/op/several_ways_to_apply_a_multivalued_multiargument_function_to_a_family_of_filters#comment-93634</link>
 <description>&lt;p&gt;I did an error in the problem statement (corrected). We need to consider the upgraded staroid, not just staroid.&lt;/p&gt;
&lt;p&gt;-- Victor Porton - http://www.mathematics21.org&lt;/p&gt;
</description>
 <pubDate>Wed, 15 Jan 2020 04:57:22 +0100</pubDate>
 <dc:creator>porton</dc:creator>
 <guid isPermaLink="false">comment 93634 at https://openproblemgarden.org</guid>
</item>
<item>
 <title>Several ways to apply a (multivalued) multiargument function to a family of filters</title>
 <link>https://openproblemgarden.org/op/several_ways_to_apply_a_multivalued_multiargument_function_to_a_family_of_filters</link>
 <description>&lt;table cellspacing=&quot;10&quot;&gt;
&lt;tr&gt;
  &lt;td&gt;
    Author(s):
        &lt;a href=&quot;/category/porton_victor&quot;&gt;Porton&lt;/a&gt;&amp;nbsp;&amp;nbsp;
  &lt;/td&gt;
  &lt;td align=right&gt;
    Subject:
        &lt;a href=&quot;/topology&quot;&gt;Topology&lt;/a&gt;&amp;nbsp;&amp;nbsp;
  &lt;/td&gt;
&lt;/tr&gt;

&lt;tr&gt;
  &lt;td colspan=2&gt;
    &lt;table border=1 cellspacing=&quot;5&quot;&gt;
      &lt;tr&gt;&lt;td&gt;
        &lt;div class=&quot;envtheorem&quot;&gt;&lt;b&gt;Problem&lt;/b&gt;&amp;nbsp;&amp;nbsp; Let &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/dcd7ae9cf0009f744cb554a2a549667e2a95aed0.png&quot; alt=&quot;$ \mathcal{X} $&quot; /&gt; be an indexed family of filters on sets. Which of the below items are always pairwise equal?&lt;/p&gt;
&lt;p&gt;1. The funcoid corresponding to this function (considered as a single argument function on indexed families) applied to the reloidal product of filters &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/dcd7ae9cf0009f744cb554a2a549667e2a95aed0.png&quot; alt=&quot;$ \mathcal{X} $&quot; /&gt;.&lt;/p&gt;
&lt;p&gt;2. The funcoid corresponding to this function (considered as a single argument function on indexed families) applied to the starred reloidal product of filters &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/dcd7ae9cf0009f744cb554a2a549667e2a95aed0.png&quot; alt=&quot;$ \mathcal{X} $&quot; /&gt;.&lt;/p&gt;
&lt;p&gt;3. &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/ef506b211e870f9dc2e18ae927969aa995e25de1.png&quot; alt=&quot;$ \bigcap_{F\in\operatorname{up}^{\mathrm{FCD}}\prod^{\mathrm{Strd}}\mathcal{X}}\langle f \rangle F $&quot; /&gt;. &lt;/div&gt;

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&lt;/table&gt;</description>
 <category domain="https://openproblemgarden.org/category/porton_victor">Porton, Victor</category>
 <category domain="https://openproblemgarden.org/category/funcoid">funcoid</category>
 <category domain="https://openproblemgarden.org/category/function">function</category>
 <category domain="https://openproblemgarden.org/category/multifuncoid">multifuncoid</category>
 <category domain="https://openproblemgarden.org/category/staroid">staroid</category>
 <category domain="https://openproblemgarden.org/topology">Topology</category>
 <comments>https://openproblemgarden.org/op/several_ways_to_apply_a_multivalued_multiargument_function_to_a_family_of_filters#comment</comments>
 <pubDate>Tue, 24 Dec 2019 18:33:58 +0100</pubDate>
 <dc:creator>porton</dc:creator>
 <guid isPermaLink="false">60043 at https://openproblemgarden.org</guid>
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