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DTSTART:20070311T020000
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DTSTART:20071104T020000
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UID:d7c91173-4329-49a1-b75e-2b266ce62a3d.211032@calendar.missouristate.edu
CREATED:20201023T134350Z
LAST-MODIFIED:20201023T134350Z
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SUMMARY:Mathematics Colloquium 
DESCRIPTION:Title: Characterizations of coarse and uniform embeddability i
 nto c_0(k)\n\n\n\n\n\nBy: Dr. Andrew Swift\, Oklahoma University\n\n\n\n\
 n\nAbstract:  Nonlinear geometry of Banach spaces has found applications 
 in computer science and research into famous mathematical conjectures suc
 h as the Novikov conjecture.  One of the major open questions in the fiel
 d is whether the coarse (large-scale) embeddability of a Banach space int
 o another is equivalent to the uniform (small-scale) embeddability.  I wi
 ll give a brief introduction to both types of embeddability and show that
  if the target space is c_0(k)\, where k is any cardinality\, then the tw
 o types of embeddability are equivalent.  Both types of embeddability in 
 this case can be characterized intrinsically in terms of metric covers us
 ing properties (uniform/coarse Stone property) analogous to the notion of
  paracompactness from topology.  These properties may be viewed as genera
 lizations of the property that a space has finite (Lebesgue covering/asym
 ptotic) dimension.\n\n\n\n\n\nZoom Meeting ID 933 6907 1997. Contact wbra
 y@missouristate.edu for the passcode to join.
X-ALT-DESC;FMTTYPE=text/html:&lt;html&gt;&lt;head&gt;&lt;title&gt;&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;p&gt;&lt;s
 trong&gt;Title: Characterizations of coarse and uniform embeddability into c
 _0(k)&lt;/strong&gt;&lt;/p&gt;\n&lt;p&gt;&lt;/p&gt;\n&lt;p&gt;&lt;strong&gt;By: Dr. Andrew Swift\, Oklahoma U
 niversity&lt;/strong&gt;&lt;/p&gt;\n&lt;p&gt;&lt;/p&gt;\n&lt;p&gt;&lt;span&gt;Abstract:&amp;nbsp\; Nonlinear geom
 etry of Banach spaces has found applications in computer science and rese
 arch into famous mathematical conjectures such as the Novikov conjecture.
 &amp;nbsp\; One of the major open questions in the field is whether the coars
 e (large-scale) embeddability of a Banach space into another is equivalen
 t to the uniform (small-scale) embeddability.&amp;nbsp\; I will give a brief 
 introduction to both types of embeddability and show that if the target s
 pace is c_0(k)\, where k is any cardinality\, then the two types of embed
 dability are equivalent.&amp;nbsp\; Both types of embeddability in this case 
 can be characterized intrinsically in terms of metric covers using proper
 ties (uniform/coarse Stone property) analogous to the notion of paracompa
 ctness from topology.&amp;nbsp\; These properties may be viewed as generaliza
 tions of the property that a space has finite (Lebesgue covering/asymptot
 ic) dimension.&lt;/span&gt;&lt;/p&gt;\n&lt;p&gt;&lt;span&gt;&lt;/span&gt;&lt;/p&gt;\n&lt;p&gt;&lt;span&gt;Zoom Meeting ID
 &amp;nbsp\;&lt;/span&gt;933 6907 1997. Contact wbray@missouristate.edu for the pass
 code to join.&lt;/p&gt;&lt;/body&gt;&lt;/html&gt;
DTSTART;TZID=America/Chicago:20201103T150000
DTEND;TZID=America/Chicago:20201103T160000
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CATEGORIES:Public,Alumni,Current Students,Faculty
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