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.