Add to ORKGAbstract Notions of strongly and absolutely closed objects with respect to a closure operator C on an arbitrary category X and with respect to a subcategory Y are introduced. This yields two Galois connections between closure operators on a given category X and subclasses of X , whose fixed points are studied. A relationship with some compactness notions is shown and examples are provided
AbstractWe provide analogous characterizations of the families of dense and of closed subobjects wit...
In this paper, we generalize the notions of polymorphisms and invariant relations to arbitrary categ...
summary:In [1], various generalizations of the separation properties, the notion of closed and stron...
In previous papers, various notions of (strongly) closed subobject, (strongly) open subobject, conne...
AbstractClosure operators in an (E, M)-category X are introduced as concrete endofunctors of the com...
In this paper, the characterization of closed and strongly closed subobjects of an object in categor...
An abstract notion of closure operator is proposed with numerous applications in topology, algebra a...
Abstract. We investigate categorical versions of algebraically closed ( = pure) embeddings, existent...
The closure operators in the category Top of topological spaces are studied in full detail, providin...
Offers an extensive investigation of the theory of closure operators in different areas of mathemati...
For an arbitrarily fixed closure operator in a topological category compactness, closedness and mini...
In previous papers, the notions of "closedness" and "strong closedness" in set-based topological cat...
We provide analogous characterizations of the families of dense and of closed subobjects with respec...
This paper deals with an order-theoretic analysis of certain structures studied in category theory. ...
By defining a closure operator on effective equivalence relations in a regular category C, it is possi...
AbstractWe provide analogous characterizations of the families of dense and of closed subobjects wit...
In this paper, we generalize the notions of polymorphisms and invariant relations to arbitrary categ...
summary:In [1], various generalizations of the separation properties, the notion of closed and stron...
In previous papers, various notions of (strongly) closed subobject, (strongly) open subobject, conne...
AbstractClosure operators in an (E, M)-category X are introduced as concrete endofunctors of the com...
In this paper, the characterization of closed and strongly closed subobjects of an object in categor...
An abstract notion of closure operator is proposed with numerous applications in topology, algebra a...
Abstract. We investigate categorical versions of algebraically closed ( = pure) embeddings, existent...
The closure operators in the category Top of topological spaces are studied in full detail, providin...
Offers an extensive investigation of the theory of closure operators in different areas of mathemati...
For an arbitrarily fixed closure operator in a topological category compactness, closedness and mini...
In previous papers, the notions of "closedness" and "strong closedness" in set-based topological cat...
We provide analogous characterizations of the families of dense and of closed subobjects with respec...
This paper deals with an order-theoretic analysis of certain structures studied in category theory. ...
By defining a closure operator on effective equivalence relations in a regular category C, it is possi...
AbstractWe provide analogous characterizations of the families of dense and of closed subobjects wit...
In this paper, we generalize the notions of polymorphisms and invariant relations to arbitrary categ...
summary:In [1], various generalizations of the separation properties, the notion of closed and stron...