In this paper the lattice of all epidense subcategories of a topological category is investigated by defining the Lα-objects for every cardinal number α. It is proved that the full subcategory Lα A of a topological category A whose objects are all Lα-objects is an extremal epidense subcategory of A. If A is universal, then the lattice of all epidense subcategories contained in LoA is isomorphic to the lattice of all bidense subcategories.
On the lattice of epidense subcategories of a topological category
TOZZI, Anna
1984-01-01
Abstract
In this paper the lattice of all epidense subcategories of a topological category is investigated by defining the Lα-objects for every cardinal number α. It is proved that the full subcategory Lα A of a topological category A whose objects are all Lα-objects is an extremal epidense subcategory of A. If A is universal, then the lattice of all epidense subcategories contained in LoA is isomorphic to the lattice of all bidense subcategories.File in questo prodotto:
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