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UID:/NewsandEvents/Archives/2018/newsitem/10046/20
 -June-2018-Algebra|Coalgebra-Seminar-Guram-Bezhani
 shvili
DTSTAMP:20180614T161653
SUMMARY:Algebra|Coalgebra Seminar, Guram Bezhanish
 vili
ATTENDEE;ROLE=Speaker:Guram Bezhanishvili (New Mex
 ico State University)
DTSTART;TZID=Europe/Amsterdam:20180620T160000
DTEND;TZID=Europe/Amsterdam:20180620T170000
LOCATION:Room F1.15, ILLC, Science Park 107, Amste
 rdam
DESCRIPTION:Abstract:  De Vries duality yields a d
 ual equivalence between the category of compact Ha
 usdorff spaces and a category of complete Boolean 
 algebras with a proximity relation on them, known 
 as de Vries algebras. I will report on a recent jo
 int work with Pat Morandi and Bruce Olberding on h
 ow to extend de Vries duality to completely regula
 r spaces by replacing the category of de Vries alg
 ebras with certain extensions of de Vries algebras
 . This we do by first formulating a duality betwee
 n compactifications and de Vries extensions, and t
 hen specializing to the extensions that correspond
  to Stone-Čech compactifications.
X-ALT-DESC;FMTTYPE=text/html:\n  <p>Abstract:<br>\
 n  De Vries duality yields a dual equivalence betw
 een the category of compact Hausdorff spaces and a
  category of complete Boolean algebras with a prox
 imity relation on them, known as de Vries algebras
 . I will report on a recent joint work with Pat Mo
 randi and Bruce Olberding on how to extend de Vrie
 s duality to completely regular spaces by replacin
 g the category of de Vries algebras with certain e
 xtensions of de Vries algebras. This we do by firs
 t formulating a duality between compactifications 
 and de Vries extensions, and then specializing to 
 the extensions that correspond to Stone-Čech compa
 ctifications.</p>\n
URL:http://events.illc.uva.nl/alg-coalg
CONTACT:Frederik Lauridsen at f.m.lauridsen at uva
 .nl
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