Slapal: Categorical neighborhood operators

Einladung des Forschungsseminars der Algebra-Gruppe

Am Freitag, 13.5.2011, 12:15 s.t.
hält
                      Josef Slapal 
             (Brno University of Technology)  

einen Vortrag mit dem Titel

            Categorical neighborhood operators

Ort: "kleiner Seminarraum 104" des
      Instituts für Diskrete Mathematik und Geometrie,
      1040 Wien, Wiedner Hauptstrasse 8-10, Turm A, 5.Stock

Abstract: We introduce and study a concept of neighborhood operator on a category. Such an operator is obtained by assigning a suitably axiomatized stack of subobjects - the neighbourhoods - to every subobject of each object in the category. We define in a natural way and discuss closure and interior operators, convergence, separation and compactness with respect to a neighborhood operator.

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