FIRST SEMESTER
Theory of categories and sheaves (D713)

Theory of categories and sheaves


Prof.dr. Dumitru Busneag

 

  1. Abelian categories
  2. Aditive functors
  3. Localization
  4. Sheaves of sets on a topological space
  5. Elementary toposes
  6. Boolean toposes



Bibliography

 

  1. M. Barry: Theory of categories, Academic Press, 1965.
  2. Busneag: Categories of algebraic logic, Ed. Academiei, Bucuresti, 2006.
  3. P.J. Cameron: Sets, Logic, and Categories, Springer Undergraduate Mathematics Series , 1999.
  4. S.M. Lane: Categories for the Working Mathematician, Springer, 1997.
  5. C. Nastasescu: Inele. Module. Categorii, Ed. Academiei, Bucuresti, 1976.
  6. N.Popescu , Categorii abeliene, Ed. Academiei Romane, Bucuresti, 1971.
  7. N. Popescu, L. Popescu: Theory of categories, Ed. Academiei, Bucuresti si Sijthoff and Noordhoff International Publishers, 1979.
  8. A.Radu, Teoria toposurilor, Ed. Academiei Romane, Bucuresti, 1981.
  9. Gh. Radu : Algebra categoriilor si a functorilor, Ed. Junimea, Iasi, 1988.