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The categories of flows of Set and Top
Abstract Following John Kennison, a flow (or discrete dynamical system) in a category C is a couple ( X , f ) , where X is an object of C and f : X → X is a morphism, called the iterator. If ( A , fExpand
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KORSELT NUMBERS AND SETS
Let α ∈ ℤ\{0}. A positive integer N is said to be an α-Korselt number (Kα-number, for short) if N ≠ α and p - α divides N - α for each prime divisor p of N. We are concerned, here, with both aExpand
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SPECTRAL PRIMAL SPACES
Let f : X → X be a mapping. Consider 𝒜(f) = {O ⊆ X : f−1(O) ⊆ O}. Then, according to Echi, 𝒜(f) is an Alexandroff topology. A topological space X is called a primal space if its topology coincidesExpand
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Feuilletages et topologie spectrale
Let F be a codimension-one foliation, transversally oriented, of class C r …rV0† on a connected closed manifold M. The class of a leaf F of F is de®ned to be the union of all leaves G with FG. Let XExpand
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An up-spectral space need not be A-spectral
An A-spectral space is a space such that its one-point compactifi- cation is a spectral space. An up-spectral space is defined to be a topological space X satisfying the axioms of a spectral spaceExpand
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ON THE SPECTRALIFICATION OF A HEMISPECTRAL SPACE
An open subset U of a topological space X is called intersection compact open, or ICO, if for every compact open set Q of X, U ∩ Q is compact. A continuous map f of topological spaces will be calledExpand
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An extension theorem for sober spaces and the Goldman topology
Goldman points of a topological space are defined in order to extend the notion of prime G-ideals of a ring. We associate to any topological space a new topology called Goldman topology. For soberExpand
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The Cardinality of a Sphere Relative to an Edit Distance
Let Σ be an alphabet (a finite set). We denote by Σ∗ the set consisting of all finite words (or strings) that can be made from the letters (or phonemes). The set of all n-letter words over Σ will beExpand
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THE KORSELT SET OF pq
Let α ∈ ℤ\{0}. A positive integer N is said to be an α-Korselt number (Kα-number, for short) if N ≠ α and N - α is a multiple of p - α for each prime divisor p of N. By the Korselt set of N, we meanExpand
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