Stability of homomorphisms in the compact-open topology (Q616136)
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scientific article; zbMATH DE number 5833784
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of homomorphisms in the compact-open topology |
scientific article; zbMATH DE number 5833784 |
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Stability of homomorphisms in the compact-open topology (English)
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7 January 2011
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The author uses the Arzelá-Ascoli theorem and limits of inverse (projective) systems of algebras of continuous functions with compact domains to establish a kind of stability result for continuous homomorphisms from any locally compact topological universal algebra to any completely regular topological universal algebra, see also the author's paper [Acta Univ. M. Belii, Ser. Math. 15, 73--79 (2009; Zbl 1205.46028)] for other results.
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topological universal algebra
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locally compact
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uniformity
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compact-open topology
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continuous homomorphism
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stability
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