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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Sheaves of $ H$-spaces and sheaf cohomology


Author: James M. Parks
Journal: Trans. Amer. Math. Soc. 209 (1975), 143-156
MSC: Primary 55B30; Secondary 55D45
DOI: https://doi.org/10.1090/S0002-9947-1975-0377860-6
MathSciNet review: 0377860
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Abstract: The concept of a sheaf of $ H$-spaces is introduced and, using the Čech technique, a cohomology theory is defined in which the cohomology ``groups'' are $ H$-spaces. The corresponding axioms of Cartan [3] for this theory are verified and other properties of the theory are investigated.


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DOI: https://doi.org/10.1090/S0002-9947-1975-0377860-6
Keywords: Sheaves, $ H$-spaces, sheaf cohomology, Čech theory, sheaf cohomology axioms
Article copyright: © Copyright 1975 American Mathematical Society