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Closure operations in phylogenetics
Mathematical Biosciences, 2007Closure operations are a useful device in both the theory and practice of tree reconstruction in biology and other areas of classification. These operations take a collection of trees (rooted or unrooted) that classify overlapping sets of objects at their leaves, and infer further tree-like relationships. In this paper we investigate closure operations
Grünewald, Stefan +2 more
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Distinguishability Operations and Closures
Fundamenta Informaticae, 2016Given a language L, we study the language of words D(L), that distinguish between pairs of different left quotients of L. We characterize this distinguishability operation, show that its iteration has always a fixed point, and we generalize this result to operations derived from closure operators and Boolean operators. For the case of regular languages,
Câmpeanu, Cezar +2 more
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Algebraic Topological Closure Operators
Southeast Asian Bulletin of Mathematics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Swamy, U. M., Seshagiri Rao, R.
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TOPOLOGICAL CATEGORIES AND CLOSURE OPERATORS
Quaestiones Mathematicae, 1988Abstract It is shown that the category CS of closure spaces is a topological category. For each epireflective subcategory A of a topological category X a functor F A :X → X is defined and used to extend to the general case of topological categories some results given in [4], [5] and [10] for epireflective subcategories of the category Top of ...
Dikranjan D, Giuli E, TOZZI, Anna
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Acta Mathematica Hungarica, 2005
Following the notion of splitting space due to Arkhangel'ski˘i we introduce and study splitting objects and splitting closure operators in any cat- egory. The classes of splitting objects are characterized for complete categories admitting factorization structures for sinks.
G. C. L. Brümmer, E. Giuli, D. Holgate
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Following the notion of splitting space due to Arkhangel'ski˘i we introduce and study splitting objects and splitting closure operators in any cat- egory. The classes of splitting objects are characterized for complete categories admitting factorization structures for sinks.
G. C. L. Brümmer, E. Giuli, D. Holgate
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Operations on Closure Operators
1995Despite the powerful continuity condition, the notion of closure operator is very general. It is therefore important to provide tools for improving a given operator. Fortunately, there is a natural lattice structure for closure operators that allows us to distinguish between properties stable under meet (idempotency, hereditariness, productivity), and ...
D. Dikranjan, W. Tholen
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International Journal of General Systems, 2018
In this study, based on the knowledge of the existence of t-norms on an arbitrary given bounded lattice, we introduce t-closure operators with the help of a t-norm on the lattice and a subset of th...
Mehmet Akif İnce, Funda Karaçal
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In this study, based on the knowledge of the existence of t-norms on an arbitrary given bounded lattice, we introduce t-closure operators with the help of a t-norm on the lattice and a subset of th...
Mehmet Akif İnce, Funda Karaçal
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Applied Categorical Structures, 1994
In an \((E,{\mathcal M})\)-category \({\mathcal X}\) for sinks, we identify necessary conditions for Galois connections from the power collection of the class of (composable pairs) of morphisms in \({\mathcal M}\) to factor through the ``lattice'' of all closure operators on \({\mathcal M}\), and to factor through certain sublattices. This leads to the
Castellini, G. +2 more
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In an \((E,{\mathcal M})\)-category \({\mathcal X}\) for sinks, we identify necessary conditions for Galois connections from the power collection of the class of (composable pairs) of morphisms in \({\mathcal M}\) to factor through the ``lattice'' of all closure operators on \({\mathcal M}\), and to factor through certain sublattices. This leads to the
Castellini, G. +2 more
openaire +1 more source