Glasnik Matematicki, Vol. 39, No.1 (2004), 1-20.

SOME REMARKS ON THE CATEGORY SET(L), PART III

Sergey A. Solovyov

Abstract.   This paper considers the category SET(L) of L-subsets of sets with a fixed basis L and is a continuation of our previous investigation of this category. Here we study its general properties (e.g., we derive that the category is a topological construct) as well as some of its special objects and morphisms.

2000 Mathematics Subject Classification.   03E72, 04A72, 18B99.

Key words and phrases.   L-set, category of L-subsets of sets, topological construct, topos, special morphism, special object.