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Open AccessReconstruction of a Coloring from its Homogeneous Sets
We study the following reconstruction problem for colorings. Given a countable set X (finite or infinite), a coloring on X is a function $$\va...
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Publisher Correction to: Topologies on the symmetric inverse semigroup
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Topologies on the symmetric inverse semigroup
The symmetric inverse semigroup I(X) on a set X is the collection of all partial bijections between subsets of X with composition as the algebraic operation. We study the minimal Hausdorff inverse semigroup topol...
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Cardinality of the Ellis semigroup on compact metric countable spaces
Let E(X, f) be the Ellis semigroup of a dynamical system (X, f) where X is a compact metric space. We analyze the cardinality of E(X, f) for a compact countable metric space X. A characterization when E(X, f) and...
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Cardinality and compactness, cofinality and equicontinuity