منابع مشابه
Closure operators and fuzzy connectedness
A general notion of connectedness with respect to a closure operator on an arbitrary category X is used to produce some connectedness notions in the category of fuzzy topological spaces. All these notions turn out to be connectednesses in the sense of Preuß. Some already existing notions of connectedness in the category of fuzzy topological spaces are obtained as special cases of ours.
متن کاملConnectedness, Disconnectedness and Closure Operators: Further Results
Let X be an arbitrary category with an (E,M)-factorization structure for sinks. A notion of constant morphism that depends on a chosen class of monomorphisms was previously used to provide a generalization of the connectedness-disconnectedness Galois connection (also called torsion-torsion free in algebraic contexts). This Galois connection was shown to factor throught the class of all closure ...
متن کاملConnectedness, Disconnectedness and Closure Operators, a More General Approach
Let X be an arbitrary category with an (E,M)-factorization structure for sinks. A notion of constant morphism that depends on a chosen class of monomorphisms is introduced. This notion yields a Galois connection that can be seen as a generalization of the classical connectedness-disconnectedness correspondence (also called torsion-torsion free in algebraic contexts). It is shown that this Galoi...
متن کاملFrom torsion theories to closure operators and factorization systems
Torsion theories are here extended to categories equipped with an ideal of 'null morphisms', or equivalently a full subcategory of 'null objects'. Instances of this extension include closure operators viewed as generalised torsion theories in a 'category of pairs', and factorization systems viewed as torsion theories in a category of morphisms. The first point has essentially been treated in [15].
متن کاملClosure Operators and Subalgebras
In this article we present several logical schemes. The scheme SubrelstrEx concerns a non empty relational structure A, a set B, and a unary predicate P, and states that: There exists a non empty full strict relational substructure S of A such that for every element x of A holds x is an element of S if and only if P[x] provided the following conditions are met: • P[B], • B ∈ the carrier of A. T...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1994
ISSN: 0166-8641
DOI: 10.1016/0166-8641(94)90063-9