Coalgebras, sheaves, and cohomology
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- by D. H. Van Osdol PDF
- Proc. Amer. Math. Soc. 33 (1972), 257-263 Request permission
Abstract:
The category of sheaves on the topological space X with values in the algebraic category $\mathcal {A}$ is shown to be cotripleable under the stalk category ${\mathcal {A}^{|X|}}$. If K is a field then the category of K-coalgebras is shown to be cotripleable under the category of K-vector spaces. This makes possible the interpretation of the first group of the associated triple cohomology complex. In particular, for coalgebras our ${H^1}$ is isomorphic to Jonah’s ${H^2}$.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 257-263
- MSC: Primary 18C15
- DOI: https://doi.org/10.1090/S0002-9939-1972-0294447-7
- MathSciNet review: 0294447