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The Hochschild-Mitchell dimension of the set of reals is equal to 3

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Publication:1335927
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DOI10.1007/BF00975184zbMath0808.18010MaRDI QIDQ1335927

Ahmet A. Khusainov

Publication date: 8 November 1994

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


zbMATH Keywords

Hochschild-Mitchell dimensiontotally ordered subsets of the real line


Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Algebraic aspects of posets (06A11)


Related Items

On the global dimension of the category of commutative diagrams in an abelian category, The Hochschild-Mitchell dimension of linearly ordered sets and the continuum hypothesis



Cites Work

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  • Cohomology of small categories
  • Posets of cohomological dimension one with finitely many tails
  • A remark on projectives in functor categories
  • Homology of categories and exactness of direct limits
  • Rings with several objects
  • The trace of certain operators
  • Some applications of module theory to functor categories
  • The Cohomological Dimension of a Directed Set
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