On Spanier’s higher order operations
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- by Yuh-ching Chen PDF
- Proc. Amer. Math. Soc. 31 (1972), 601-604 Request permission
Abstract:
Given a stack $A$ over a simplicial set $K$, we construct the generalized Eilenberg-Mac Lane complexes $K(A,n)$ that represents a stack cohomology theory over $K$. We show that the higher order operations defined by Spanier are some sections of $K(A,n)$ over $K$ for some stack $A$.References
- Yuh-ching Chen, Stacks, costacks and axiomatic homology, Trans. Amer. Math. Soc. 145 (1969), 105–116. MR 250297, DOI 10.1090/S0002-9947-1969-0250297-3
- E. Spanier, Higher order operations, Trans. Amer. Math. Soc. 109 (1963), 509–539. MR 158399, DOI 10.1090/S0002-9947-1963-0158399-1
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 601-604
- MSC: Primary 55.32; Secondary 18.00
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288758-9
- MathSciNet review: 0288758