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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On Spanier's higher order operations


Author: Yuh-ching Chen
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
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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$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0288758-9
Keywords: Higher order operations, generalized Eilenberg-Mac Lane complexes, injective cogenerators, cohomology representation theorem, obstructions to extending null-homotopies, cross sections
Article copyright: © Copyright 1972 American Mathematical Society