The Hochschild-Mitchell dimension of linearly ordered sets and the continuum hypothesis

DOI10.1007/BF02104583zbMath0852.18010OpenAlexW2030269705MaRDI QIDQ1920832

Ahmet A. Khusainov

Publication date: 1 December 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02104583

zbMATH Keywords

partially ordered setcontinuum hypothesiscardinalitylinearly ordered setsHochschild-Mitchell dimensiontotally ordered set

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Algebraic aspects of posets (06A11) Ordinal and cardinal numbers (03E10)

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On the global dimension of the category of commutative diagrams in an abelian category

Cites Work

• Cohomology of small categories
• A remark on projectives in functor categories
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• The Hochschild-Mitchell dimension of the set of reals is equal to 3
• Homology of categories and exactness of direct limits
• Rings with several objects
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• The Cohomological Dimension of a Directed Set
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