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Locally finite adequate subcategories - MaRDI portal

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Locally finite adequate subcategories (Q760492)

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scientific article; zbMATH DE number 3884348
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English
Locally finite adequate subcategories
scientific article; zbMATH DE number 3884348

    Statements

    Locally finite adequate subcategories (English)
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    1985
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    It is shown that a complete category which is not preordered cannot have a two-sided adequate subcategory all of whose hom-sets are finite. The proof involves compact Hausdorff topologies. A stronger result is obtained in this work by decomposing adequacy.
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    preordered category
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    finite hom-sets
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    complete category
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    adequate subcategory
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    compact Hausdorff topologies
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    decomposing adequacy
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