Glasnik Matematicki, Vol. 39, No.1 (2004), 1-20.
SOME REMARKS ON THE CATEGORY SET(L), PART III
Sergey A. Solovyov
Department of Mathematics, University of Latvia,
Riga LV-1586, Latvia
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.
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