<div dir="ltr"><span class="" style="border-collapse:collapse;font-family:arial,sans-serif"><div class="" style="padding-left:0px;padding-bottom:3px;padding-right:0px;font-size:14px;padding-top:12px"><span class="" style="background-color:rgb(255,255,255)"><span style="border-collapse:collapse;font-family:arial,sans-serif;font-size:14px"><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse;color:rgb(34,34,34)"><span style="background-image:initial;color:rgb(34,34,34)">Kobe</span> <span style="background-image:initial"><font color="#000000"><span><span style="background-image:initial;color:rgb(34,34,34)"><span style="background-image:initial;color:rgb(34,34,34)">Colloquium</span></span></span></font></span> on Logic, Statistics and Informatics </span></span></span><br>
</div><div id=":xp" class="" style="direction:ltr;margin-top:5px;margin-right:15px;margin-bottom:0px;margin-left:0px;padding-bottom:5px"><div id=":ta"><div dir="ltr"><span class="" style="background-color:rgb(255,255,255)"><span style="border-collapse:collapse;font-family:arial,sans-serif;font-size:14px"><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse;color:rgb(34,34,34)"><div>
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</span></span><span class="" style="font-size:14px;background-color:rgb(255,255,255)"><span style="border-collapse:collapse;font-family:arial,sans-serif;font-size:14px"><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse;color:rgb(34,34,34)"><div style="display:inline!important">
<font face="arial, sans-serif"><span style="border-collapse:collapse"><span style="font-size:13px"><div style="display:inline!important">$B9V1i<T!'(BAndre Nies (University of Auckland, New Zealand)</div></span></span></font></div>
</span></span></span><span style="border-collapse:collapse;font-family:arial,sans-serif;font-size:14px"><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse;color:rgb(34,34,34)"><div><font face="arial, sans-serif"><span style="border-collapse:collapse"><span style="font-size:13px">$B>l=j!'?@8MBg3X<+A32J3XAm9g8&5fEo(B3$B9f4[(B4$B3,(B421$B<<!J%W%l%<%s%F!<%7%g%s<<!K(B</span></span></font></div>
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<br></div><div style="font-size:13px">========================================================================</div><div style="font-size:13px"><br></div><div>$BBjL\!'(BThe complexity of similarity relations among Polish metric spaces</div>
<div style="font-size:13px"><br></div></span></font></div></span></span><span class="" style="background-color:rgb(255,255,255)"><span class=""><div dir="ltr"><span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class=""><span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class=""><span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class=""><div dir="ltr">
<span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class=""><span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class=""><div dir="ltr" style="display:inline!important">
<span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class=""><span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class="" style="font-size:14px;background-color:rgb(255,255,255)"><span style="border-collapse:collapse;font-family:arial,sans-serif;font-size:14px"><span style="font-size:13px">$B%"%V%9%H%i%/%H!'(B</span></span></span><span class="">We calibrate the complexity of similarity relations  between</span></span></span></span></span></span></div>
</span></span></span></span></span></span></span></div><div dir="ltr"><span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class=""><span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class="" style><div dir="ltr" style="display:inline!important">
<span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)"><span class="" style><span class="" style="background-color:rgb(255,255,255)"><span class="" style="background-color:rgb(255,255,255)">Polish metric spaces. First we discuss the classical case, based on</span></span></span></span></span></div>
</span></span></span><span style="border-collapse:collapse;font-family:arial,sans-serif"><span style="font-family:arial,sans-serif;border-collapse:collapse;color:rgb(34,34,34)"></span></span></span></span></span></span></div>
</span></span></span></span></span></span></span></span></span></span></div></span></span>concepts of Gromov. Thereafter we consider computable Polish metric</span></div><div dir="ltr"><span class="" style="background-color:rgb(255,255,255)">spaces. For instance, Melnikov and I give the exact complexity of</span></div>
<div dir="ltr"><span class="" style="background-color:rgb(255,255,255)">isometry between compact computable spaces, and show that isometric</span></div><div dir="ltr"><span class="" style="background-color:rgb(255,255,255)">spaces of this kind have a Delta 3 isometry.<span style="border-collapse:collapse;font-family:arial,sans-serif;font-size:14px"><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse;color:rgb(34,34,34)"></span><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse;color:rgb(34,34,34)"></span><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse;color:rgb(34,34,34)"></span><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse;color:rgb(34,34,34)"><div>
<font face="arial, sans-serif"><span style="border-collapse:collapse"><span style="font-size:13px"><div> </div></span></span></font></div></span></span></span><div style="font-size:14px"><div><div><div><span style="border-collapse:collapse;font-family:arial,sans-serif"><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse;color:rgb(34,34,34);background-color:rgb(255,255,255)"><div>
<font face="arial, sans-serif"><span style="border-collapse:collapse"><span style="font-size:13px"><div><div><br></div><div><div>========================================================================</div></div><div><br>
</div></div><div>$B8rDL!':e5^O;9C1X$^$?$O(BJR$BO;9CF;1X$+$i?@8M;T%P%9(B36$B7OE}!VDa9CCDCO!W(B<br>$B9T$-$K>h<V!$!V?@BgK\It9)3XItA0!WDdN1=j2<<V!$ELJb$9$0!%(B<br><a href="http://www.kobe-u.ac.jp/info/access/rokko/rokkodai-dai2.htm" target="_blank" style="color:rgb(0,0,204)">http://www.<span style="background-image:initial;color:rgb(34,34,34)">kobe</span>-u.ac.jp/info/access/rokko/rokkodai-dai2.htm</a><br>
<br>$BO"Mm@h!'%V%l%s%I%l!!%h!<%0!!(B <a href="mailto:brendle@kurt.scitec.kobe-u.ac.jp" target="_blank" style="color:rgb(0,0,204)">brendle@kurt.scitec.<span style="background-image:initial;color:rgb(34,34,34)">kobe</span>-u.ac.jp</a></div></span></span></font></div>
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